Finding the Third Proportional to 137,766 and 207,661.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,766 : 207,661.50 = 207,661.50 : x
2. Step 2: Convert to fraction form
   137,766/207,661.50 = 207,661.50/x
3. Step 3: Cross multiply
   137,766x = 207,661.50 × 207,661.50
4. Step 4: Simplify right side
   137,766x = 43,123,298,582.25
5. Step 5: Solve for x
   x = 43,123,298,582.25/137,766
6. Step 6: Final answer
   x = 313,018.44