Finding the Third Proportional to 76,582 and 111,902

Step by Step Solution

1. Step 1: Write the proportion equation
   76,582 : 111,902 = 111,902 : x
2. Step 2: Convert to fraction form
   76,582/111,902 = 111,902/x
3. Step 3: Cross multiply
   76,582x = 111,902 × 111,902
4. Step 4: Simplify right side
   76,582x = 12,522,057,604
5. Step 5: Solve for x
   x = 12,522,057,604/76,582
6. Step 6: Final answer
   x = 163,511.76