Finding the Third Proportional to 82,454 and 112,008

Step by Step Solution

1. Step 1: Write the proportion equation
   82,454 : 112,008 = 112,008 : x
2. Step 2: Convert to fraction form
   82,454/112,008 = 112,008/x
3. Step 3: Cross multiply
   82,454x = 112,008 × 112,008
4. Step 4: Simplify right side
   82,454x = 12,545,792,064
5. Step 5: Solve for x
   x = 12,545,792,064/82,454
6. Step 6: Final answer
   x = 152,155.04