Finding the Third Proportional to 98,464.50 and 152,754.75

Step by Step Solution

1. Step 1: Write the proportion equation
   98,464.50 : 152,754.75 = 152,754.75 : x
2. Step 2: Convert to fraction form
   98,464.50/152,754.75 = 152,754.75/x
3. Step 3: Cross multiply
   98,464.50x = 152,754.75 × 152,754.75
4. Step 4: Simplify right side
   98,464.50x = 23,334,013,647.56
5. Step 5: Solve for x
   x = 23,334,013,647.56/98,464.50
6. Step 6: Final answer
   x = 236,978.95