Finding the Third Proportional to 166,116 and 389,984

Step by Step Solution

1. Step 1: Write the proportion equation
   166,116 : 389,984 = 389,984 : x
2. Step 2: Convert to fraction form
   166,116/389,984 = 389,984/x
3. Step 3: Cross multiply
   166,116x = 389,984 × 389,984
4. Step 4: Simplify right side
   166,116x = 152,087,520,256
5. Step 5: Solve for x
   x = 152,087,520,256/166,116
6. Step 6: Final answer
   x = 915,550.10