Finding the Third Proportional to 77,978 and 113,808

Step by Step Solution

1. Step 1: Write the proportion equation
   77,978 : 113,808 = 113,808 : x
2. Step 2: Convert to fraction form
   77,978/113,808 = 113,808/x
3. Step 3: Cross multiply
   77,978x = 113,808 × 113,808
4. Step 4: Simplify right side
   77,978x = 12,952,260,864
5. Step 5: Solve for x
   x = 12,952,260,864/77,978
6. Step 6: Final answer
   x = 166,101.48