Finding the Third Proportional to 81,714 and 112,526

Step by Step Solution

1. Step 1: Write the proportion equation
   81,714 : 112,526 = 112,526 : x
2. Step 2: Convert to fraction form
   81,714/112,526 = 112,526/x
3. Step 3: Cross multiply
   81,714x = 112,526 × 112,526
4. Step 4: Simplify right side
   81,714x = 12,662,100,676
5. Step 5: Solve for x
   x = 12,662,100,676/81,714
6. Step 6: Final answer
   x = 154,956.32