Finding the Third Proportional to 88,294 and 191,638

Step by Step Solution

1. Step 1: Write the proportion equation
   88,294 : 191,638 = 191,638 : x
2. Step 2: Convert to fraction form
   88,294/191,638 = 191,638/x
3. Step 3: Cross multiply
   88,294x = 191,638 × 191,638
4. Step 4: Simplify right side
   88,294x = 36,725,123,044
5. Step 5: Solve for x
   x = 36,725,123,044/88,294
6. Step 6: Final answer
   x = 415,941.32