Finding the Third Proportional to 52,864.50 and 77,836.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,864.50 : 77,836.50 = 77,836.50 : x
2. Step 2: Convert to fraction form
   52,864.50/77,836.50 = 77,836.50/x
3. Step 3: Cross multiply
   52,864.50x = 77,836.50 × 77,836.50
4. Step 4: Simplify right side
   52,864.50x = 6,058,520,732.25
5. Step 5: Solve for x
   x = 6,058,520,732.25/52,864.50
6. Step 6: Final answer
   x = 114,604.71