Finding the Third Proportional to 263,196 and 375,111

Step by Step Solution

1. Step 1: Write the proportion equation
   263,196 : 375,111 = 375,111 : x
2. Step 2: Convert to fraction form
   263,196/375,111 = 375,111/x
3. Step 3: Cross multiply
   263,196x = 375,111 × 375,111
4. Step 4: Simplify right side
   263,196x = 140,708,262,321
5. Step 5: Solve for x
   x = 140,708,262,321/263,196
6. Step 6: Final answer
   x = 534,613.98