Finding the Third Proportional to 66,414 and 98,680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   66,414 : 98,680.50 = 98,680.50 : x
2. Step 2: Convert to fraction form
   66,414/98,680.50 = 98,680.50/x
3. Step 3: Cross multiply
   66,414x = 98,680.50 × 98,680.50
4. Step 4: Simplify right side
   66,414x = 9,737,841,080.25
5. Step 5: Solve for x
   x = 9,737,841,080.25/66,414
6. Step 6: Final answer
   x = 146,623.32