Finding the Third Proportional to 120,204 and 257,083.88

Step by Step Solution

1. Step 1: Write the proportion equation
   120,204 : 257,083.88 = 257,083.88 : x
2. Step 2: Convert to fraction form
   120,204/257,083.88 = 257,083.88/x
3. Step 3: Cross multiply
   120,204x = 257,083.88 × 257,083.88
4. Step 4: Simplify right side
   120,204x = 66,092,118,785.02
5. Step 5: Solve for x
   x = 66,092,118,785.02/120,204
6. Step 6: Final answer
   x = 549,832.94