Finding the Third Proportional to 35,984 and 79,123

Step by Step Solution

1. Step 1: Write the proportion equation
   35,984 : 79,123 = 79,123 : x
2. Step 2: Convert to fraction form
   35,984/79,123 = 79,123/x
3. Step 3: Cross multiply
   35,984x = 79,123 × 79,123
4. Step 4: Simplify right side
   35,984x = 6,260,449,129
5. Step 5: Solve for x
   x = 6,260,449,129/35,984
6. Step 6: Final answer
   x = 173,978.69