Finding the Third Proportional to 77,577 and 168,978

Step by Step Solution

1. Step 1: Write the proportion equation
   77,577 : 168,978 = 168,978 : x
2. Step 2: Convert to fraction form
   77,577/168,978 = 168,978/x
3. Step 3: Cross multiply
   77,577x = 168,978 × 168,978
4. Step 4: Simplify right side
   77,577x = 28,553,564,484
5. Step 5: Solve for x
   x = 28,553,564,484/77,577
6. Step 6: Final answer
   x = 368,067.40