Finding the Third Proportional to 99,638 and 152,374

Step by Step Solution

1. Step 1: Write the proportion equation
   99,638 : 152,374 = 152,374 : x
2. Step 2: Convert to fraction form
   99,638/152,374 = 152,374/x
3. Step 3: Cross multiply
   99,638x = 152,374 × 152,374
4. Step 4: Simplify right side
   99,638x = 23,217,835,876
5. Step 5: Solve for x
   x = 23,217,835,876/99,638
6. Step 6: Final answer
   x = 233,021.90