Finding the Third Proportional to 85,978 and 189,392

Step by Step Solution

1. Step 1: Write the proportion equation
   85,978 : 189,392 = 189,392 : x
2. Step 2: Convert to fraction form
   85,978/189,392 = 189,392/x
3. Step 3: Cross multiply
   85,978x = 189,392 × 189,392
4. Step 4: Simplify right side
   85,978x = 35,869,329,664
5. Step 5: Solve for x
   x = 35,869,329,664/85,978
6. Step 6: Final answer
   x = 417,191.95