Finding the Third Proportional to 137,061 and 205,591.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,061 : 205,591.50 = 205,591.50 : x
2. Step 2: Convert to fraction form
   137,061/205,591.50 = 205,591.50/x
3. Step 3: Cross multiply
   137,061x = 205,591.50 × 205,591.50
4. Step 4: Simplify right side
   137,061x = 42,267,864,872.25
5. Step 5: Solve for x
   x = 42,267,864,872.25/137,061
6. Step 6: Final answer
   x = 308,387.25