Finding the Third Proportional to 96,582 and 142,078

Step by Step Solution

1. Step 1: Write the proportion equation
   96,582 : 142,078 = 142,078 : x
2. Step 2: Convert to fraction form
   96,582/142,078 = 142,078/x
3. Step 3: Cross multiply
   96,582x = 142,078 × 142,078
4. Step 4: Simplify right side
   96,582x = 20,186,158,084
5. Step 5: Solve for x
   x = 20,186,158,084/96,582
6. Step 6: Final answer
   x = 209,005.38