Finding the Third Proportional to 98,816 and 152,850

Step by Step Solution

1. Step 1: Write the proportion equation
   98,816 : 152,850 = 152,850 : x
2. Step 2: Convert to fraction form
   98,816/152,850 = 152,850/x
3. Step 3: Cross multiply
   98,816x = 152,850 × 152,850
4. Step 4: Simplify right side
   98,816x = 23,363,122,500
5. Step 5: Solve for x
   x = 23,363,122,500/98,816
6. Step 6: Final answer
   x = 236,430.56