Finding the Third Proportional to 99,022.50 and 152,826.75

Step by Step Solution

1. Step 1: Write the proportion equation
   99,022.50 : 152,826.75 = 152,826.75 : x
2. Step 2: Convert to fraction form
   99,022.50/152,826.75 = 152,826.75/x
3. Step 3: Cross multiply
   99,022.50x = 152,826.75 × 152,826.75
4. Step 4: Simplify right side
   99,022.50x = 23,356,015,515.56
5. Step 5: Solve for x
   x = 23,356,015,515.56/99,022.50
6. Step 6: Final answer
   x = 235,865.74