Finding the Third Proportional to 124,623 and 271,802.25

Step by Step Solution

1. Step 1: Write the proportion equation
   124,623 : 271,802.25 = 271,802.25 : x
2. Step 2: Convert to fraction form
   124,623/271,802.25 = 271,802.25/x
3. Step 3: Cross multiply
   124,623x = 271,802.25 × 271,802.25
4. Step 4: Simplify right side
   124,623x = 73,876,463,105.06
5. Step 5: Solve for x
   x = 73,876,463,105.06/124,623
6. Step 6: Final answer
   x = 592,799.59