Finding the Third Proportional to 342,695 and 512,068

Step by Step Solution

1. Step 1: Write the proportion equation
   342,695 : 512,068 = 512,068 : x
2. Step 2: Convert to fraction form
   342,695/512,068 = 512,068/x
3. Step 3: Cross multiply
   342,695x = 512,068 × 512,068
4. Step 4: Simplify right side
   342,695x = 262,213,636,624
5. Step 5: Solve for x
   x = 262,213,636,624/342,695
6. Step 6: Final answer
   x = 765,151.63