Finding the Third Proportional to 52,271 and 78,893

Step by Step Solution

1. Step 1: Write the proportion equation
   52,271 : 78,893 = 78,893 : x
2. Step 2: Convert to fraction form
   52,271/78,893 = 78,893/x
3. Step 3: Cross multiply
   52,271x = 78,893 × 78,893
4. Step 4: Simplify right side
   52,271x = 6,224,105,449
5. Step 5: Solve for x
   x = 6,224,105,449/52,271
6. Step 6: Final answer
   x = 119,073.78