Finding the Third Proportional to 49,170 and 78,179

Step by Step Solution

1. Step 1: Write the proportion equation
   49,170 : 78,179 = 78,179 : x
2. Step 2: Convert to fraction form
   49,170/78,179 = 78,179/x
3. Step 3: Cross multiply
   49,170x = 78,179 × 78,179
4. Step 4: Simplify right side
   49,170x = 6,111,956,041
5. Step 5: Solve for x
   x = 6,111,956,041/49,170
6. Step 6: Final answer
   x = 124,302.54