Finding the Third Proportional to 81,796.50 and 119,992.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,796.50 : 119,992.50 = 119,992.50 : x
2. Step 2: Convert to fraction form
   81,796.50/119,992.50 = 119,992.50/x
3. Step 3: Cross multiply
   81,796.50x = 119,992.50 × 119,992.50
4. Step 4: Simplify right side
   81,796.50x = 14,398,200,056.25
5. Step 5: Solve for x
   x = 14,398,200,056.25/81,796.50
6. Step 6: Final answer
   x = 176,024.65