Finding the Third Proportional to 88,524 and 191,799

Step by Step Solution

1. Step 1: Write the proportion equation
   88,524 : 191,799 = 191,799 : x
2. Step 2: Convert to fraction form
   88,524/191,799 = 191,799/x
3. Step 3: Cross multiply
   88,524x = 191,799 × 191,799
4. Step 4: Simplify right side
   88,524x = 36,786,856,401
5. Step 5: Solve for x
   x = 36,786,856,401/88,524
6. Step 6: Final answer
   x = 415,558.00