Finding the Third Proportional to 81,550 and 114,838

Step by Step Solution

1. Step 1: Write the proportion equation
   81,550 : 114,838 = 114,838 : x
2. Step 2: Convert to fraction form
   81,550/114,838 = 114,838/x
3. Step 3: Cross multiply
   81,550x = 114,838 × 114,838
4. Step 4: Simplify right side
   81,550x = 13,187,766,244
5. Step 5: Solve for x
   x = 13,187,766,244/81,550
6. Step 6: Final answer
   x = 161,713.87