Finding the Third Proportional to 52,264 and 78,882

Step by Step Solution

1. Step 1: Write the proportion equation
   52,264 : 78,882 = 78,882 : x
2. Step 2: Convert to fraction form
   52,264/78,882 = 78,882/x
3. Step 3: Cross multiply
   52,264x = 78,882 × 78,882
4. Step 4: Simplify right side
   52,264x = 6,222,369,924
5. Step 5: Solve for x
   x = 6,222,369,924/52,264
6. Step 6: Final answer
   x = 119,056.52