Finding the Third Proportional to 216,926 and 468,946

Step by Step Solution

1. Step 1: Write the proportion equation
   216,926 : 468,946 = 468,946 : x
2. Step 2: Convert to fraction form
   216,926/468,946 = 468,946/x
3. Step 3: Cross multiply
   216,926x = 468,946 × 468,946
4. Step 4: Simplify right side
   216,926x = 219,910,350,916
5. Step 5: Solve for x
   x = 219,910,350,916/216,926
6. Step 6: Final answer
   x = 1,013,757.46