Finding the Third Proportional to 94,978 and 205,180

Step by Step Solution

1. Step 1: Write the proportion equation
   94,978 : 205,180 = 205,180 : x
2. Step 2: Convert to fraction form
   94,978/205,180 = 205,180/x
3. Step 3: Cross multiply
   94,978x = 205,180 × 205,180
4. Step 4: Simplify right side
   94,978x = 42,098,832,400
5. Step 5: Solve for x
   x = 42,098,832,400/94,978
6. Step 6: Final answer
   x = 443,248.25