Finding the Third Proportional to 88,519 and 191,124

Step by Step Solution

1. Step 1: Write the proportion equation
   88,519 : 191,124 = 191,124 : x
2. Step 2: Convert to fraction form
   88,519/191,124 = 191,124/x
3. Step 3: Cross multiply
   88,519x = 191,124 × 191,124
4. Step 4: Simplify right side
   88,519x = 36,528,383,376
5. Step 5: Solve for x
   x = 36,528,383,376/88,519
6. Step 6: Final answer
   x = 412,661.50