Finding the Third Proportional to 238,567 and 514,499

Step by Step Solution

1. Step 1: Write the proportion equation
   238,567 : 514,499 = 514,499 : x
2. Step 2: Convert to fraction form
   238,567/514,499 = 514,499/x
3. Step 3: Cross multiply
   238,567x = 514,499 × 514,499
4. Step 4: Simplify right side
   238,567x = 264,709,221,001
5. Step 5: Solve for x
   x = 264,709,221,001/238,567
6. Step 6: Final answer
   x = 1,109,580.21