Finding the Third Proportional to 158,746 and 216,182

Step by Step Solution

1. Step 1: Write the proportion equation
   158,746 : 216,182 = 216,182 : x
2. Step 2: Convert to fraction form
   158,746/216,182 = 216,182/x
3. Step 3: Cross multiply
   158,746x = 216,182 × 216,182
4. Step 4: Simplify right side
   158,746x = 46,734,657,124
5. Step 5: Solve for x
   x = 46,734,657,124/158,746
6. Step 6: Final answer
   x = 294,398.96