Finding the Third Proportional to 98,451 and 147,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,451 : 147,766.50 = 147,766.50 : x
2. Step 2: Convert to fraction form
   98,451/147,766.50 = 147,766.50/x
3. Step 3: Cross multiply
   98,451x = 147,766.50 × 147,766.50
4. Step 4: Simplify right side
   98,451x = 21,834,938,522.25
5. Step 5: Solve for x
   x = 21,834,938,522.25/98,451
6. Step 6: Final answer
   x = 221,784.83