Finding the Third Proportional to 146,142 and 318,528

Step by Step Solution

1. Step 1: Write the proportion equation
   146,142 : 318,528 = 318,528 : x
2. Step 2: Convert to fraction form
   146,142/318,528 = 318,528/x
3. Step 3: Cross multiply
   146,142x = 318,528 × 318,528
4. Step 4: Simplify right side
   146,142x = 101,460,086,784
5. Step 5: Solve for x
   x = 101,460,086,784/146,142
6. Step 6: Final answer
   x = 694,256.87