Finding the Third Proportional to 81,562 and 114,856

Step by Step Solution

1. Step 1: Write the proportion equation
   81,562 : 114,856 = 114,856 : x
2. Step 2: Convert to fraction form
   81,562/114,856 = 114,856/x
3. Step 3: Cross multiply
   81,562x = 114,856 × 114,856
4. Step 4: Simplify right side
   81,562x = 13,191,900,736
5. Step 5: Solve for x
   x = 13,191,900,736/81,562
6. Step 6: Final answer
   x = 161,740.77