Finding the Third Proportional to 66,480 and 99,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   66,480 : 99,766.50 = 99,766.50 : x
2. Step 2: Convert to fraction form
   66,480/99,766.50 = 99,766.50/x
3. Step 3: Cross multiply
   66,480x = 99,766.50 × 99,766.50
4. Step 4: Simplify right side
   66,480x = 9,953,354,522.25
5. Step 5: Solve for x
   x = 9,953,354,522.25/66,480
6. Step 6: Final answer
   x = 149,719.53