Finding the Third Proportional to 82,434,997,782 and 178,558,422,367.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,434,997,782 : 178,558,422,367.50 = 178,558,422,367.50 : x
2. Step 2: Convert to fraction form
   82,434,997,782/178,558,422,367.50 = 178,558,422,367.50/x
3. Step 3: Cross multiply
   82,434,997,782x = 178,558,422,367.50 × 178,558,422,367.50
4. Step 4: Simplify right side
   82,434,997,782x = 31,883,110,198,370,524,725,248
5. Step 5: Solve for x
   x = 31,883,110,198,370,524,725,248/82,434,997,782
6. Step 6: Final answer
   x = 386,766,677,457.62