Finding the Third Proportional to 81,278 and 173,822

Step by Step Solution

1. Step 1: Write the proportion equation
   81,278 : 173,822 = 173,822 : x
2. Step 2: Convert to fraction form
   81,278/173,822 = 173,822/x
3. Step 3: Cross multiply
   81,278x = 173,822 × 173,822
4. Step 4: Simplify right side
   81,278x = 30,214,087,684
5. Step 5: Solve for x
   x = 30,214,087,684/81,278
6. Step 6: Final answer
   x = 371,737.59