Finding the Third Proportional to 218,696 and 478,382

Step by Step Solution

1. Step 1: Write the proportion equation
   218,696 : 478,382 = 478,382 : x
2. Step 2: Convert to fraction form
   218,696/478,382 = 478,382/x
3. Step 3: Cross multiply
   218,696x = 478,382 × 478,382
4. Step 4: Simplify right side
   218,696x = 228,849,337,924
5. Step 5: Solve for x
   x = 228,849,337,924/218,696
6. Step 6: Final answer
   x = 1,046,426.72