Finding the Third Proportional to 98,715 and 158,974.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,715 : 158,974.50 = 158,974.50 : x
2. Step 2: Convert to fraction form
   98,715/158,974.50 = 158,974.50/x
3. Step 3: Cross multiply
   98,715x = 158,974.50 × 158,974.50
4. Step 4: Simplify right side
   98,715x = 25,272,891,650.25
5. Step 5: Solve for x
   x = 25,272,891,650.25/98,715
6. Step 6: Final answer
   x = 256,018.76