Finding the Third Proportional to 81,813 and 120,025.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,813 : 120,025.50 = 120,025.50 : x
2. Step 2: Convert to fraction form
   81,813/120,025.50 = 120,025.50/x
3. Step 3: Cross multiply
   81,813x = 120,025.50 × 120,025.50
4. Step 4: Simplify right side
   81,813x = 14,406,120,650.25
5. Step 5: Solve for x
   x = 14,406,120,650.25/81,813
6. Step 6: Final answer
   x = 176,085.96