Finding the Third Proportional to 89,315 and 187,822

Step by Step Solution

1. Step 1: Write the proportion equation
   89,315 : 187,822 = 187,822 : x
2. Step 2: Convert to fraction form
   89,315/187,822 = 187,822/x
3. Step 3: Cross multiply
   89,315x = 187,822 × 187,822
4. Step 4: Simplify right side
   89,315x = 35,277,103,684
5. Step 5: Solve for x
   x = 35,277,103,684/89,315
6. Step 6: Final answer
   x = 394,974.01