Finding the Third Proportional to 55,978 and 84,507

Step by Step Solution

1. Step 1: Write the proportion equation
   55,978 : 84,507 = 84,507 : x
2. Step 2: Convert to fraction form
   55,978/84,507 = 84,507/x
3. Step 3: Cross multiply
   55,978x = 84,507 × 84,507
4. Step 4: Simplify right side
   55,978x = 7,141,433,049
5. Step 5: Solve for x
   x = 7,141,433,049/55,978
6. Step 6: Final answer
   x = 127,575.71