Finding the Third Proportional to 88,294 and 191,256

Step by Step Solution

1. Step 1: Write the proportion equation
   88,294 : 191,256 = 191,256 : x
2. Step 2: Convert to fraction form
   88,294/191,256 = 191,256/x
3. Step 3: Cross multiply
   88,294x = 191,256 × 191,256
4. Step 4: Simplify right side
   88,294x = 36,578,857,536
5. Step 5: Solve for x
   x = 36,578,857,536/88,294
6. Step 6: Final answer
   x = 414,284.75