Finding the Third Proportional to 99,644 and 152,385

Step by Step Solution

1. Step 1: Write the proportion equation
   99,644 : 152,385 = 152,385 : x
2. Step 2: Convert to fraction form
   99,644/152,385 = 152,385/x
3. Step 3: Cross multiply
   99,644x = 152,385 × 152,385
4. Step 4: Simplify right side
   99,644x = 23,221,188,225
5. Step 5: Solve for x
   x = 23,221,188,225/99,644
6. Step 6: Final answer
   x = 233,041.51