Finding the Third Proportional to 109,316 and 173,822

Step by Step Solution

1. Step 1: Write the proportion equation
   109,316 : 173,822 = 173,822 : x
2. Step 2: Convert to fraction form
   109,316/173,822 = 173,822/x
3. Step 3: Cross multiply
   109,316x = 173,822 × 173,822
4. Step 4: Simplify right side
   109,316x = 30,214,087,684
5. Step 5: Solve for x
   x = 30,214,087,684/109,316
6. Step 6: Final answer
   x = 276,392.18