Finding the Third Proportional to 85,446 and 186,978

Step by Step Solution

1. Step 1: Write the proportion equation
   85,446 : 186,978 = 186,978 : x
2. Step 2: Convert to fraction form
   85,446/186,978 = 186,978/x
3. Step 3: Cross multiply
   85,446x = 186,978 × 186,978
4. Step 4: Simplify right side
   85,446x = 34,960,772,484
5. Step 5: Solve for x
   x = 34,960,772,484/85,446
6. Step 6: Final answer
   x = 409,156.34