Finding the Third Proportional to 174,807 and 264,575.25

Step by Step Solution

1. Step 1: Write the proportion equation
   174,807 : 264,575.25 = 264,575.25 : x
2. Step 2: Convert to fraction form
   174,807/264,575.25 = 264,575.25/x
3. Step 3: Cross multiply
   174,807x = 264,575.25 × 264,575.25
4. Step 4: Simplify right side
   174,807x = 70,000,062,912.56
5. Step 5: Solve for x
   x = 70,000,062,912.56/174,807
6. Step 6: Final answer
   x = 400,441.99