Finding the Third Proportional to 174,298.50 and 266,456.25

Step by Step Solution

1. Step 1: Write the proportion equation
   174,298.50 : 266,456.25 = 266,456.25 : x
2. Step 2: Convert to fraction form
   174,298.50/266,456.25 = 266,456.25/x
3. Step 3: Cross multiply
   174,298.50x = 266,456.25 × 266,456.25
4. Step 4: Simplify right side
   174,298.50x = 70,998,933,164.06
5. Step 5: Solve for x
   x = 70,998,933,164.06/174,298.50
6. Step 6: Final answer
   x = 407,341.05