Finding the Third Proportional to 71,458 and 156,736

Step by Step Solution

1. Step 1: Write the proportion equation
   71,458 : 156,736 = 156,736 : x
2. Step 2: Convert to fraction form
   71,458/156,736 = 156,736/x
3. Step 3: Cross multiply
   71,458x = 156,736 × 156,736
4. Step 4: Simplify right side
   71,458x = 24,566,173,696
5. Step 5: Solve for x
   x = 24,566,173,696/71,458
6. Step 6: Final answer
   x = 343,784.79