Finding the Third Proportional to 65,883 and 98,644.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,883 : 98,644.50 = 98,644.50 : x
2. Step 2: Convert to fraction form
   65,883/98,644.50 = 98,644.50/x
3. Step 3: Cross multiply
   65,883x = 98,644.50 × 98,644.50
4. Step 4: Simplify right side
   65,883x = 9,730,737,380.25
5. Step 5: Solve for x
   x = 9,730,737,380.25/65,883
6. Step 6: Final answer
   x = 147,697.24