Finding the Third Proportional to 99,648 and 152,391

Step by Step Solution

1. Step 1: Write the proportion equation
   99,648 : 152,391 = 152,391 : x
2. Step 2: Convert to fraction form
   99,648/152,391 = 152,391/x
3. Step 3: Cross multiply
   99,648x = 152,391 × 152,391
4. Step 4: Simplify right side
   99,648x = 23,223,016,881
5. Step 5: Solve for x
   x = 23,223,016,881/99,648
6. Step 6: Final answer
   x = 233,050.51