Finding the Third Proportional to 238,288.50 and 511,128

Step by Step Solution

1. Step 1: Write the proportion equation
   238,288.50 : 511,128 = 511,128 : x
2. Step 2: Convert to fraction form
   238,288.50/511,128 = 511,128/x
3. Step 3: Cross multiply
   238,288.50x = 511,128 × 511,128
4. Step 4: Simplify right side
   238,288.50x = 261,251,832,384
5. Step 5: Solve for x
   x = 261,251,832,384/238,288.50
6. Step 6: Final answer
   x = 1,096,367.77