Finding the Third Proportional to 258,224.50 and 557,237

Step by Step Solution

1. Step 1: Write the proportion equation
   258,224.50 : 557,237 = 557,237 : x
2. Step 2: Convert to fraction form
   258,224.50/557,237 = 557,237/x
3. Step 3: Cross multiply
   258,224.50x = 557,237 × 557,237
4. Step 4: Simplify right side
   258,224.50x = 310,513,074,169
5. Step 5: Solve for x
   x = 310,513,074,169/258,224.50
6. Step 6: Final answer
   x = 1,202,492.69