Finding the Third Proportional to 81,534 and 112,662

Step by Step Solution

1. Step 1: Write the proportion equation
   81,534 : 112,662 = 112,662 : x
2. Step 2: Convert to fraction form
   81,534/112,662 = 112,662/x
3. Step 3: Cross multiply
   81,534x = 112,662 × 112,662
4. Step 4: Simplify right side
   81,534x = 12,692,726,244
5. Step 5: Solve for x
   x = 12,692,726,244/81,534
6. Step 6: Final answer
   x = 155,674.03