Finding the Third Proportional to 99,141 and 159,597.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,141 : 159,597.50 = 159,597.50 : x
2. Step 2: Convert to fraction form
   99,141/159,597.50 = 159,597.50/x
3. Step 3: Cross multiply
   99,141x = 159,597.50 × 159,597.50
4. Step 4: Simplify right side
   99,141x = 25,471,362,006.25
5. Step 5: Solve for x
   x = 25,471,362,006.25/99,141
6. Step 6: Final answer
   x = 256,920.57