Finding the Third Proportional to 174,874.50 and 313,758

Step by Step Solution

1. Step 1: Write the proportion equation
   174,874.50 : 313,758 = 313,758 : x
2. Step 2: Convert to fraction form
   174,874.50/313,758 = 313,758/x
3. Step 3: Cross multiply
   174,874.50x = 313,758 × 313,758
4. Step 4: Simplify right side
   174,874.50x = 98,444,082,564
5. Step 5: Solve for x
   x = 98,444,082,564/174,874.50
6. Step 6: Final answer
   x = 562,941.32