Finding the Third Proportional to 81,759 and 109,873.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,759 : 109,873.50 = 109,873.50 : x
2. Step 2: Convert to fraction form
   81,759/109,873.50 = 109,873.50/x
3. Step 3: Cross multiply
   81,759x = 109,873.50 × 109,873.50
4. Step 4: Simplify right side
   81,759x = 12,072,186,002.25
5. Step 5: Solve for x
   x = 12,072,186,002.25/81,759
6. Step 6: Final answer
   x = 147,655.74