Finding the Third Proportional to 342,142 and 531,065

Step by Step Solution

1. Step 1: Write the proportion equation
   342,142 : 531,065 = 531,065 : x
2. Step 2: Convert to fraction form
   342,142/531,065 = 531,065/x
3. Step 3: Cross multiply
   342,142x = 531,065 × 531,065
4. Step 4: Simplify right side
   342,142x = 282,030,034,225
5. Step 5: Solve for x
   x = 282,030,034,225/342,142
6. Step 6: Final answer
   x = 824,306.97