Finding the Third Proportional to 38,844 and 84,978

Step by Step Solution

1. Step 1: Write the proportion equation
   38,844 : 84,978 = 84,978 : x
2. Step 2: Convert to fraction form
   38,844/84,978 = 84,978/x
3. Step 3: Cross multiply
   38,844x = 84,978 × 84,978
4. Step 4: Simplify right side
   38,844x = 7,221,260,484
5. Step 5: Solve for x
   x = 7,221,260,484/38,844
6. Step 6: Final answer
   x = 185,904.14