Finding the Third Proportional to 83,900 and 171,688

Step by Step Solution

1. Step 1: Write the proportion equation
   83,900 : 171,688 = 171,688 : x
2. Step 2: Convert to fraction form
   83,900/171,688 = 171,688/x
3. Step 3: Cross multiply
   83,900x = 171,688 × 171,688
4. Step 4: Simplify right side
   83,900x = 29,476,769,344
5. Step 5: Solve for x
   x = 29,476,769,344/83,900
6. Step 6: Final answer
   x = 351,332.17