Finding the Third Proportional to 238,754 and 510,284

Step by Step Solution

1. Step 1: Write the proportion equation
   238,754 : 510,284 = 510,284 : x
2. Step 2: Convert to fraction form
   238,754/510,284 = 510,284/x
3. Step 3: Cross multiply
   238,754x = 510,284 × 510,284
4. Step 4: Simplify right side
   238,754x = 260,389,760,656
5. Step 5: Solve for x
   x = 260,389,760,656/238,754
6. Step 6: Final answer
   x = 1,090,619.47