Finding the Third Proportional to 216,312 and 465,906

Step by Step Solution

1. Step 1: Write the proportion equation
   216,312 : 465,906 = 465,906 : x
2. Step 2: Convert to fraction form
   216,312/465,906 = 465,906/x
3. Step 3: Cross multiply
   216,312x = 465,906 × 465,906
4. Step 4: Simplify right side
   216,312x = 217,068,400,836
5. Step 5: Solve for x
   x = 217,068,400,836/216,312
6. Step 6: Final answer
   x = 1,003,496.80