Finding the Third Proportional to 156,938 and 343,016

Step by Step Solution

1. Step 1: Write the proportion equation
   156,938 : 343,016 = 343,016 : x
2. Step 2: Convert to fraction form
   156,938/343,016 = 343,016/x
3. Step 3: Cross multiply
   156,938x = 343,016 × 343,016
4. Step 4: Simplify right side
   156,938x = 117,659,976,256
5. Step 5: Solve for x
   x = 117,659,976,256/156,938
6. Step 6: Final answer
   x = 749,722.67