Finding the Third Proportional to 99,816 and 109,657.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,816 : 109,657.50 = 109,657.50 : x
2. Step 2: Convert to fraction form
   99,816/109,657.50 = 109,657.50/x
3. Step 3: Cross multiply
   99,816x = 109,657.50 × 109,657.50
4. Step 4: Simplify right side
   99,816x = 12,024,767,306.25
5. Step 5: Solve for x
   x = 12,024,767,306.25/99,816
6. Step 6: Final answer
   x = 120,469.34