Finding the Third Proportional to 81,924 and 173,448

Step by Step Solution

1. Step 1: Write the proportion equation
   81,924 : 173,448 = 173,448 : x
2. Step 2: Convert to fraction form
   81,924/173,448 = 173,448/x
3. Step 3: Cross multiply
   81,924x = 173,448 × 173,448
4. Step 4: Simplify right side
   81,924x = 30,084,208,704
5. Step 5: Solve for x
   x = 30,084,208,704/81,924
6. Step 6: Final answer
   x = 367,220.95