Finding the Third Proportional to 32,098 and 77,321.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,098 : 77,321.50 = 77,321.50 : x
2. Step 2: Convert to fraction form
   32,098/77,321.50 = 77,321.50/x
3. Step 3: Cross multiply
   32,098x = 77,321.50 × 77,321.50
4. Step 4: Simplify right side
   32,098x = 5,978,614,362.25
5. Step 5: Solve for x
   x = 5,978,614,362.25/32,098
6. Step 6: Final answer
   x = 186,261.27