Finding the Third Proportional to 174,874.50 and 262,314.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,874.50 : 262,314.50 = 262,314.50 : x
2. Step 2: Convert to fraction form
   174,874.50/262,314.50 = 262,314.50/x
3. Step 3: Cross multiply
   174,874.50x = 262,314.50 × 262,314.50
4. Step 4: Simplify right side
   174,874.50x = 68,808,896,910.25
5. Step 5: Solve for x
   x = 68,808,896,910.25/174,874.50
6. Step 6: Final answer
   x = 393,475.88