Finding the Third Proportional to 141,540 and 206,472

Step by Step Solution

1. Step 1: Write the proportion equation
   141,540 : 206,472 = 206,472 : x
2. Step 2: Convert to fraction form
   141,540/206,472 = 206,472/x
3. Step 3: Cross multiply
   141,540x = 206,472 × 206,472
4. Step 4: Simplify right side
   141,540x = 42,630,686,784
5. Step 5: Solve for x
   x = 42,630,686,784/141,540
6. Step 6: Final answer
   x = 301,191.80