Finding the Third Proportional to 174,610.50 and 258,642

Step by Step Solution

1. Step 1: Write the proportion equation
   174,610.50 : 258,642 = 258,642 : x
2. Step 2: Convert to fraction form
   174,610.50/258,642 = 258,642/x
3. Step 3: Cross multiply
   174,610.50x = 258,642 × 258,642
4. Step 4: Simplify right side
   174,610.50x = 66,895,684,164
5. Step 5: Solve for x
   x = 66,895,684,164/174,610.50
6. Step 6: Final answer
   x = 383,113.75