Finding the Third Proportional to 174,582 and 266,944.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,582 : 266,944.50 = 266,944.50 : x
2. Step 2: Convert to fraction form
   174,582/266,944.50 = 266,944.50/x
3. Step 3: Cross multiply
   174,582x = 266,944.50 × 266,944.50
4. Step 4: Simplify right side
   174,582x = 71,259,366,080.25
5. Step 5: Solve for x
   x = 71,259,366,080.25/174,582
6. Step 6: Final answer
   x = 408,171.32