Finding the Third Proportional to 233,200 and 499,588

Step by Step Solution

1. Step 1: Write the proportion equation
   233,200 : 499,588 = 499,588 : x
2. Step 2: Convert to fraction form
   233,200/499,588 = 499,588/x
3. Step 3: Cross multiply
   233,200x = 499,588 × 499,588
4. Step 4: Simplify right side
   233,200x = 249,588,169,744
5. Step 5: Solve for x
   x = 249,588,169,744/233,200
6. Step 6: Final answer
   x = 1,070,275.17