Finding the Third Proportional to 120,667.50 and 257,355

Step by Step Solution

1. Step 1: Write the proportion equation
   120,667.50 : 257,355 = 257,355 : x
2. Step 2: Convert to fraction form
   120,667.50/257,355 = 257,355/x
3. Step 3: Cross multiply
   120,667.50x = 257,355 × 257,355
4. Step 4: Simplify right side
   120,667.50x = 66,231,596,025
5. Step 5: Solve for x
   x = 66,231,596,025/120,667.50
6. Step 6: Final answer
   x = 548,876.84