Finding the Third Proportional to 197,920 and 466,746

Step by Step Solution

1. Step 1: Write the proportion equation
   197,920 : 466,746 = 466,746 : x
2. Step 2: Convert to fraction form
   197,920/466,746 = 466,746/x
3. Step 3: Cross multiply
   197,920x = 466,746 × 466,746
4. Step 4: Simplify right side
   197,920x = 217,851,828,516
5. Step 5: Solve for x
   x = 217,851,828,516/197,920
6. Step 6: Final answer
   x = 1,100,706.49