Finding the Third Proportional to 120,270.50 and 258,310

Step by Step Solution

1. Step 1: Write the proportion equation
   120,270.50 : 258,310 = 258,310 : x
2. Step 2: Convert to fraction form
   120,270.50/258,310 = 258,310/x
3. Step 3: Cross multiply
   120,270.50x = 258,310 × 258,310
4. Step 4: Simplify right side
   120,270.50x = 66,724,056,100
5. Step 5: Solve for x
   x = 66,724,056,100/120,270.50
6. Step 6: Final answer
   x = 554,783.23