Finding the Third Proportional to 52,263 and 76,205.25

Step by Step Solution

1. Step 1: Write the proportion equation
   52,263 : 76,205.25 = 76,205.25 : x
2. Step 2: Convert to fraction form
   52,263/76,205.25 = 76,205.25/x
3. Step 3: Cross multiply
   52,263x = 76,205.25 × 76,205.25
4. Step 4: Simplify right side
   52,263x = 5,807,240,127.56
5. Step 5: Solve for x
   x = 5,807,240,127.56/52,263
6. Step 6: Final answer
   x = 111,115.71