Finding the Third Proportional to 117,022.50 and 176,581.69

Step by Step Solution

1. Step 1: Write the proportion equation
   117,022.50 : 176,581.69 = 176,581.69 : x
2. Step 2: Convert to fraction form
   117,022.50/176,581.69 = 176,581.69/x
3. Step 3: Cross multiply
   117,022.50x = 176,581.69 × 176,581.69
4. Step 4: Simplify right side
   117,022.50x = 31,181,092,360.35
5. Step 5: Solve for x
   x = 31,181,092,360.35/117,022.50
6. Step 6: Final answer
   x = 266,453.82