Finding the Third Proportional to 99,642 and 152,382

Step by Step Solution

1. Step 1: Write the proportion equation
   99,642 : 152,382 = 152,382 : x
2. Step 2: Convert to fraction form
   99,642/152,382 = 152,382/x
3. Step 3: Cross multiply
   99,642x = 152,382 × 152,382
4. Step 4: Simplify right side
   99,642x = 23,220,273,924
5. Step 5: Solve for x
   x = 23,220,273,924/99,642
6. Step 6: Final answer
   x = 233,037.01