Finding the Third Proportional to 71,470 and 156,764

Step by Step Solution

1. Step 1: Write the proportion equation
   71,470 : 156,764 = 156,764 : x
2. Step 2: Convert to fraction form
   71,470/156,764 = 156,764/x
3. Step 3: Cross multiply
   71,470x = 156,764 × 156,764
4. Step 4: Simplify right side
   71,470x = 24,574,951,696
5. Step 5: Solve for x
   x = 24,574,951,696/71,470
6. Step 6: Final answer
   x = 343,849.89