Finding the Third Proportional to 405,114 and 883,123

Step by Step Solution

1. Step 1: Write the proportion equation
   405,114 : 883,123 = 883,123 : x
2. Step 2: Convert to fraction form
   405,114/883,123 = 883,123/x
3. Step 3: Cross multiply
   405,114x = 883,123 × 883,123
4. Step 4: Simplify right side
   405,114x = 779,906,233,129
5. Step 5: Solve for x
   x = 779,906,233,129/405,114
6. Step 6: Final answer
   x = 1,925,152.51