Finding the Third Proportional to 120,224.25 and 258,552

Step by Step Solution

1. Step 1: Write the proportion equation
   120,224.25 : 258,552 = 258,552 : x
2. Step 2: Convert to fraction form
   120,224.25/258,552 = 258,552/x
3. Step 3: Cross multiply
   120,224.25x = 258,552 × 258,552
4. Step 4: Simplify right side
   120,224.25x = 66,849,136,704
5. Step 5: Solve for x
   x = 66,849,136,704/120,224.25
6. Step 6: Final answer
   x = 556,037.04