Finding the Third Proportional to 191,292 and 281,105

Step by Step Solution

1. Step 1: Write the proportion equation
   191,292 : 281,105 = 281,105 : x
2. Step 2: Convert to fraction form
   191,292/281,105 = 281,105/x
3. Step 3: Cross multiply
   191,292x = 281,105 × 281,105
4. Step 4: Simplify right side
   191,292x = 79,020,021,025
5. Step 5: Solve for x
   x = 79,020,021,025/191,292
6. Step 6: Final answer
   x = 413,085.86