Finding the Third Proportional to 238,756 and 510,288

Step by Step Solution

1. Step 1: Write the proportion equation
   238,756 : 510,288 = 510,288 : x
2. Step 2: Convert to fraction form
   238,756/510,288 = 510,288/x
3. Step 3: Cross multiply
   238,756x = 510,288 × 510,288
4. Step 4: Simplify right side
   238,756x = 260,393,842,944
5. Step 5: Solve for x
   x = 260,393,842,944/238,756
6. Step 6: Final answer
   x = 1,090,627.43