Finding the Third Proportional to 76,460 and 112,436

Step by Step Solution

1. Step 1: Write the proportion equation
   76,460 : 112,436 = 112,436 : x
2. Step 2: Convert to fraction form
   76,460/112,436 = 112,436/x
3. Step 3: Cross multiply
   76,460x = 112,436 × 112,436
4. Step 4: Simplify right side
   76,460x = 12,641,854,096
5. Step 5: Solve for x
   x = 12,641,854,096/76,460
6. Step 6: Final answer
   x = 165,339.45