Finding the Third Proportional to 52,834 and 78,378

Step by Step Solution

1. Step 1: Write the proportion equation
   52,834 : 78,378 = 78,378 : x
2. Step 2: Convert to fraction form
   52,834/78,378 = 78,378/x
3. Step 3: Cross multiply
   52,834x = 78,378 × 78,378
4. Step 4: Simplify right side
   52,834x = 6,143,110,884
5. Step 5: Solve for x
   x = 6,143,110,884/52,834
6. Step 6: Final answer
   x = 116,271.92