Finding the Third Proportional to 55,365 and 129,978

Step by Step Solution

1. Step 1: Write the proportion equation
   55,365 : 129,978 = 129,978 : x
2. Step 2: Convert to fraction form
   55,365/129,978 = 129,978/x
3. Step 3: Cross multiply
   55,365x = 129,978 × 129,978
4. Step 4: Simplify right side
   55,365x = 16,894,280,484
5. Step 5: Solve for x
   x = 16,894,280,484/55,365
6. Step 6: Final answer
   x = 305,143.69