Finding the Third Proportional to 82,117.50 and 177,730.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,117.50 : 177,730.50 = 177,730.50 : x
2. Step 2: Convert to fraction form
   82,117.50/177,730.50 = 177,730.50/x
3. Step 3: Cross multiply
   82,117.50x = 177,730.50 × 177,730.50
4. Step 4: Simplify right side
   82,117.50x = 31,588,130,630.25
5. Step 5: Solve for x
   x = 31,588,130,630.25/82,117.50
6. Step 6: Final answer
   x = 384,669.90