Finding the Third Proportional to 98,771 and 156,904.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,771 : 156,904.50 = 156,904.50 : x
2. Step 2: Convert to fraction form
   98,771/156,904.50 = 156,904.50/x
3. Step 3: Cross multiply
   98,771x = 156,904.50 × 156,904.50
4. Step 4: Simplify right side
   98,771x = 24,619,022,120.25
5. Step 5: Solve for x
   x = 24,619,022,120.25/98,771
6. Step 6: Final answer
   x = 249,253.55