Finding the Third Proportional to 68,599 and 149,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   68,599 : 149,766.50 = 149,766.50 : x
2. Step 2: Convert to fraction form
   68,599/149,766.50 = 149,766.50/x
3. Step 3: Cross multiply
   68,599x = 149,766.50 × 149,766.50
4. Step 4: Simplify right side
   68,599x = 22,430,004,522.25
5. Step 5: Solve for x
   x = 22,430,004,522.25/68,599
6. Step 6: Final answer
   x = 326,972.76