Finding the Third Proportional to 172,402 and 359,546

Step by Step Solution

1. Step 1: Write the proportion equation
   172,402 : 359,546 = 359,546 : x
2. Step 2: Convert to fraction form
   172,402/359,546 = 359,546/x
3. Step 3: Cross multiply
   172,402x = 359,546 × 359,546
4. Step 4: Simplify right side
   172,402x = 129,273,326,116
5. Step 5: Solve for x
   x = 129,273,326,116/172,402
6. Step 6: Final answer
   x = 749,836.58