Finding the Third Proportional to 98,419 and 152,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,419 : 152,686.50 = 152,686.50 : x
2. Step 2: Convert to fraction form
   98,419/152,686.50 = 152,686.50/x
3. Step 3: Cross multiply
   98,419x = 152,686.50 × 152,686.50
4. Step 4: Simplify right side
   98,419x = 23,313,167,282.25
5. Step 5: Solve for x
   x = 23,313,167,282.25/98,419
6. Step 6: Final answer
   x = 236,876.69