Finding the Third Proportional to 52,863 and 77,310

Step by Step Solution

1. Step 1: Write the proportion equation
   52,863 : 77,310 = 77,310 : x
2. Step 2: Convert to fraction form
   52,863/77,310 = 77,310/x
3. Step 3: Cross multiply
   52,863x = 77,310 × 77,310
4. Step 4: Simplify right side
   52,863x = 5,976,836,100
5. Step 5: Solve for x
   x = 5,976,836,100/52,863
6. Step 6: Final answer
   x = 113,062.75