Finding the Third Proportional to 172,820.25 and 359,435.25

Step by Step Solution

1. Step 1: Write the proportion equation
   172,820.25 : 359,435.25 = 359,435.25 : x
2. Step 2: Convert to fraction form
   172,820.25/359,435.25 = 359,435.25/x
3. Step 3: Cross multiply
   172,820.25x = 359,435.25 × 359,435.25
4. Step 4: Simplify right side
   172,820.25x = 129,193,698,942.56
5. Step 5: Solve for x
   x = 129,193,698,942.56/172,820.25
6. Step 6: Final answer
   x = 747,561.12