Finding the Third Proportional to 124,678.50 and 258,225

Step by Step Solution

1. Step 1: Write the proportion equation
   124,678.50 : 258,225 = 258,225 : x
2. Step 2: Convert to fraction form
   124,678.50/258,225 = 258,225/x
3. Step 3: Cross multiply
   124,678.50x = 258,225 × 258,225
4. Step 4: Simplify right side
   124,678.50x = 66,680,150,625
5. Step 5: Solve for x
   x = 66,680,150,625/124,678.50
6. Step 6: Final answer
   x = 534,816.75