Finding the Third Proportional to 81,634 and 109,842

Step by Step Solution

1. Step 1: Write the proportion equation
   81,634 : 109,842 = 109,842 : x
2. Step 2: Convert to fraction form
   81,634/109,842 = 109,842/x
3. Step 3: Cross multiply
   81,634x = 109,842 × 109,842
4. Step 4: Simplify right side
   81,634x = 12,065,264,964
5. Step 5: Solve for x
   x = 12,065,264,964/81,634
6. Step 6: Final answer
   x = 147,797.06