Finding the Third Proportional to 647,540 and 971,310

Step by Step Solution

1. Step 1: Write the proportion equation
   647,540 : 971,310 = 971,310 : x
2. Step 2: Convert to fraction form
   647,540/971,310 = 971,310/x
3. Step 3: Cross multiply
   647,540x = 971,310 × 971,310
4. Step 4: Simplify right side
   647,540x = 943,443,116,100
5. Step 5: Solve for x
   x = 943,443,116,100/647,540
6. Step 6: Final answer
   x = 1,456,965