Finding the Third Proportional to 99,646 and 152,388

Step by Step Solution

1. Step 1: Write the proportion equation
   99,646 : 152,388 = 152,388 : x
2. Step 2: Convert to fraction form
   99,646/152,388 = 152,388/x
3. Step 3: Cross multiply
   99,646x = 152,388 × 152,388
4. Step 4: Simplify right side
   99,646x = 23,222,102,544
5. Step 5: Solve for x
   x = 23,222,102,544/99,646
6. Step 6: Final answer
   x = 233,046.01