Finding the Third Proportional to 99,533 and 152,192

Step by Step Solution

1. Step 1: Write the proportion equation
   99,533 : 152,192 = 152,192 : x
2. Step 2: Convert to fraction form
   99,533/152,192 = 152,192/x
3. Step 3: Cross multiply
   99,533x = 152,192 × 152,192
4. Step 4: Simplify right side
   99,533x = 23,162,404,864
5. Step 5: Solve for x
   x = 23,162,404,864/99,533
6. Step 6: Final answer
   x = 232,710.81