Finding the Third Proportional to 120,024 and 258,637.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,024 : 258,637.50 = 258,637.50 : x
2. Step 2: Convert to fraction form
   120,024/258,637.50 = 258,637.50/x
3. Step 3: Cross multiply
   120,024x = 258,637.50 × 258,637.50
4. Step 4: Simplify right side
   120,024x = 66,893,356,406.25
5. Step 5: Solve for x
   x = 66,893,356,406.25/120,024
6. Step 6: Final answer
   x = 557,333.17