Finding the Third Proportional to 138,154 and 207,743.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,154 : 207,743.50 = 207,743.50 : x
2. Step 2: Convert to fraction form
   138,154/207,743.50 = 207,743.50/x
3. Step 3: Cross multiply
   138,154x = 207,743.50 × 207,743.50
4. Step 4: Simplify right side
   138,154x = 43,157,361,792.25
5. Step 5: Solve for x
   x = 43,157,361,792.25/138,154
6. Step 6: Final answer
   x = 312,385.90