Finding the Third Proportional to 277,191 and 363,978

Step by Step Solution

1. Step 1: Write the proportion equation
   277,191 : 363,978 = 363,978 : x
2. Step 2: Convert to fraction form
   277,191/363,978 = 363,978/x
3. Step 3: Cross multiply
   277,191x = 363,978 × 363,978
4. Step 4: Simplify right side
   277,191x = 132,479,984,484
5. Step 5: Solve for x
   x = 132,479,984,484/277,191
6. Step 6: Final answer
   x = 477,937.54