Finding the Third Proportional to 99,681 and 148,657.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,681 : 148,657.50 = 148,657.50 : x
2. Step 2: Convert to fraction form
   99,681/148,657.50 = 148,657.50/x
3. Step 3: Cross multiply
   99,681x = 148,657.50 × 148,657.50
4. Step 4: Simplify right side
   99,681x = 22,099,052,306.25
5. Step 5: Solve for x
   x = 22,099,052,306.25/99,681
6. Step 6: Final answer
   x = 221,697.74