Finding the Third Proportional to 81,727 and 112,546

Step by Step Solution

1. Step 1: Write the proportion equation
   81,727 : 112,546 = 112,546 : x
2. Step 2: Convert to fraction form
   81,727/112,546 = 112,546/x
3. Step 3: Cross multiply
   81,727x = 112,546 × 112,546
4. Step 4: Simplify right side
   81,727x = 12,666,602,116
5. Step 5: Solve for x
   x = 12,666,602,116/81,727
6. Step 6: Final answer
   x = 154,986.75