Finding the Third Proportional to 85,977 and 189,390

Step by Step Solution

1. Step 1: Write the proportion equation
   85,977 : 189,390 = 189,390 : x
2. Step 2: Convert to fraction form
   85,977/189,390 = 189,390/x
3. Step 3: Cross multiply
   85,977x = 189,390 × 189,390
4. Step 4: Simplify right side
   85,977x = 35,868,572,100
5. Step 5: Solve for x
   x = 35,868,572,100/85,977
6. Step 6: Final answer
   x = 417,187.99