Finding the Third Proportional to 99,138 and 159,592.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,138 : 159,592.50 = 159,592.50 : x
2. Step 2: Convert to fraction form
   99,138/159,592.50 = 159,592.50/x
3. Step 3: Cross multiply
   99,138x = 159,592.50 × 159,592.50
4. Step 4: Simplify right side
   99,138x = 25,469,766,056.25
5. Step 5: Solve for x
   x = 25,469,766,056.25/99,138
6. Step 6: Final answer
   x = 256,912.24