Finding the Third Proportional to 174,610 and 270,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,610 : 270,464.50 = 270,464.50 : x
2. Step 2: Convert to fraction form
   174,610/270,464.50 = 270,464.50/x
3. Step 3: Cross multiply
   174,610x = 270,464.50 × 270,464.50
4. Step 4: Simplify right side
   174,610x = 73,151,045,760.25
5. Step 5: Solve for x
   x = 73,151,045,760.25/174,610
6. Step 6: Final answer
   x = 418,939.61