Finding the Third Proportional to 238,698 and 514,761

Step by Step Solution

1. Step 1: Write the proportion equation
   238,698 : 514,761 = 514,761 : x
2. Step 2: Convert to fraction form
   238,698/514,761 = 514,761/x
3. Step 3: Cross multiply
   238,698x = 514,761 × 514,761
4. Step 4: Simplify right side
   238,698x = 264,978,887,121
5. Step 5: Solve for x
   x = 264,978,887,121/238,698
6. Step 6: Final answer
   x = 1,110,100.99