Finding the Third Proportional to 61,209 and 129,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,209 : 129,766.50 = 129,766.50 : x
2. Step 2: Convert to fraction form
   61,209/129,766.50 = 129,766.50/x
3. Step 3: Cross multiply
   61,209x = 129,766.50 × 129,766.50
4. Step 4: Simplify right side
   61,209x = 16,839,344,522.25
5. Step 5: Solve for x
   x = 16,839,344,522.25/61,209
6. Step 6: Final answer
   x = 275,112.23