Finding the Third Proportional to 83,490.75 and 176,944.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,490.75 : 176,944.50 = 176,944.50 : x
2. Step 2: Convert to fraction form
   83,490.75/176,944.50 = 176,944.50/x
3. Step 3: Cross multiply
   83,490.75x = 176,944.50 × 176,944.50
4. Step 4: Simplify right side
   83,490.75x = 31,309,356,080.25
5. Step 5: Solve for x
   x = 31,309,356,080.25/83,490.75
6. Step 6: Final answer
   x = 375,003.89