Finding the Third Proportional to 81,745 and 109,852.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,745 : 109,852.50 = 109,852.50 : x
2. Step 2: Convert to fraction form
   81,745/109,852.50 = 109,852.50/x
3. Step 3: Cross multiply
   81,745x = 109,852.50 × 109,852.50
4. Step 4: Simplify right side
   81,745x = 12,067,571,756.25
5. Step 5: Solve for x
   x = 12,067,571,756.25/81,745
6. Step 6: Final answer
   x = 147,624.59