Finding the Third Proportional to 137,121 and 207,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,121 : 207,142.50 = 207,142.50 : x
2. Step 2: Convert to fraction form
   137,121/207,142.50 = 207,142.50/x
3. Step 3: Cross multiply
   137,121x = 207,142.50 × 207,142.50
4. Step 4: Simplify right side
   137,121x = 42,908,015,306.25
5. Step 5: Solve for x
   x = 42,908,015,306.25/137,121
6. Step 6: Final answer
   x = 312,920.82