Finding the Third Proportional to 35,678 and 78,124

Step by Step Solution

1. Step 1: Write the proportion equation
   35,678 : 78,124 = 78,124 : x
2. Step 2: Convert to fraction form
   35,678/78,124 = 78,124/x
3. Step 3: Cross multiply
   35,678x = 78,124 × 78,124
4. Step 4: Simplify right side
   35,678x = 6,103,359,376
5. Step 5: Solve for x
   x = 6,103,359,376/35,678
6. Step 6: Final answer
   x = 171,067.87