Finding the Third Proportional to 80,942 and 171,746

Step by Step Solution

1. Step 1: Write the proportion equation
   80,942 : 171,746 = 171,746 : x
2. Step 2: Convert to fraction form
   80,942/171,746 = 171,746/x
3. Step 3: Cross multiply
   80,942x = 171,746 × 171,746
4. Step 4: Simplify right side
   80,942x = 29,496,688,516
5. Step 5: Solve for x
   x = 29,496,688,516/80,942
6. Step 6: Final answer
   x = 364,417.59