Finding the Third Proportional to 83,594 and 182,422

Step by Step Solution

1. Step 1: Write the proportion equation
   83,594 : 182,422 = 182,422 : x
2. Step 2: Convert to fraction form
   83,594/182,422 = 182,422/x
3. Step 3: Cross multiply
   83,594x = 182,422 × 182,422
4. Step 4: Simplify right side
   83,594x = 33,277,786,084
5. Step 5: Solve for x
   x = 33,277,786,084/83,594
6. Step 6: Final answer
   x = 398,088.21