Finding the Third Proportional to 111,920 and 173,553

Step by Step Solution

1. Step 1: Write the proportion equation
   111,920 : 173,553 = 173,553 : x
2. Step 2: Convert to fraction form
   111,920/173,553 = 173,553/x
3. Step 3: Cross multiply
   111,920x = 173,553 × 173,553
4. Step 4: Simplify right side
   111,920x = 30,120,643,809
5. Step 5: Solve for x
   x = 30,120,643,809/111,920
6. Step 6: Final answer
   x = 269,126.55