Finding the Third Proportional to 99,120 and 159,598.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,120 : 159,598.50 = 159,598.50 : x
2. Step 2: Convert to fraction form
   99,120/159,598.50 = 159,598.50/x
3. Step 3: Cross multiply
   99,120x = 159,598.50 × 159,598.50
4. Step 4: Simplify right side
   99,120x = 25,471,681,202.25
5. Step 5: Solve for x
   x = 25,471,681,202.25/99,120
6. Step 6: Final answer
   x = 256,978.22