Finding the Third Proportional to 82,797,337.50 and 180,633,709.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,797,337.50 : 180,633,709.50 = 180,633,709.50 : x
2. Step 2: Convert to fraction form
   82,797,337.50/180,633,709.50 = 180,633,709.50/x
3. Step 3: Cross multiply
   82,797,337.50x = 180,633,709.50 × 180,633,709.50
4. Step 4: Simplify right side
   82,797,337.50x = 32,628,537,007,730,392
5. Step 5: Solve for x
   x = 32,628,537,007,730,392/82,797,337.50
6. Step 6: Final answer
   x = 394,077,128.48