Finding the Third Proportional to 191,408 and 293,810

Step by Step Solution

1. Step 1: Write the proportion equation
   191,408 : 293,810 = 293,810 : x
2. Step 2: Convert to fraction form
   191,408/293,810 = 293,810/x
3. Step 3: Cross multiply
   191,408x = 293,810 × 293,810
4. Step 4: Simplify right side
   191,408x = 86,324,316,100
5. Step 5: Solve for x
   x = 86,324,316,100/191,408
6. Step 6: Final answer
   x = 450,996.39