Finding the Third Proportional to 70,414 and 156,570

Step by Step Solution

1. Step 1: Write the proportion equation
   70,414 : 156,570 = 156,570 : x
2. Step 2: Convert to fraction form
   70,414/156,570 = 156,570/x
3. Step 3: Cross multiply
   70,414x = 156,570 × 156,570
4. Step 4: Simplify right side
   70,414x = 24,514,164,900
5. Step 5: Solve for x
   x = 24,514,164,900/70,414
6. Step 6: Final answer
   x = 348,143.34