Finding the Third Proportional to 81,885 and 110,029.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,885 : 110,029.50 = 110,029.50 : x
2. Step 2: Convert to fraction form
   81,885/110,029.50 = 110,029.50/x
3. Step 3: Cross multiply
   81,885x = 110,029.50 × 110,029.50
4. Step 4: Simplify right side
   81,885x = 12,106,490,870.25
5. Step 5: Solve for x
   x = 12,106,490,870.25/81,885
6. Step 6: Final answer
   x = 147,847.48