Finding the Third Proportional to 81,738 and 109,842.75

Step by Step Solution

1. Step 1: Write the proportion equation
   81,738 : 109,842.75 = 109,842.75 : x
2. Step 2: Convert to fraction form
   81,738/109,842.75 = 109,842.75/x
3. Step 3: Cross multiply
   81,738x = 109,842.75 × 109,842.75
4. Step 4: Simplify right side
   81,738x = 12,065,429,727.56
5. Step 5: Solve for x
   x = 12,065,429,727.56/81,738
6. Step 6: Final answer
   x = 147,611.02