Finding the Third Proportional to 263,200 and 375,116

Step by Step Solution

1. Step 1: Write the proportion equation
   263,200 : 375,116 = 375,116 : x
2. Step 2: Convert to fraction form
   263,200/375,116 = 375,116/x
3. Step 3: Cross multiply
   263,200x = 375,116 × 375,116
4. Step 4: Simplify right side
   263,200x = 140,712,013,456
5. Step 5: Solve for x
   x = 140,712,013,456/263,200
6. Step 6: Final answer
   x = 534,620.11