Finding the Third Proportional to 82,835 and 110,363.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,835 : 110,363.50 = 110,363.50 : x
2. Step 2: Convert to fraction form
   82,835/110,363.50 = 110,363.50/x
3. Step 3: Cross multiply
   82,835x = 110,363.50 × 110,363.50
4. Step 4: Simplify right side
   82,835x = 12,180,102,132.25
5. Step 5: Solve for x
   x = 12,180,102,132.25/82,835
6. Step 6: Final answer
   x = 147,040.53