Finding the Third Proportional to 301,288.50 and 413,139

Step by Step Solution

1. Step 1: Write the proportion equation
   301,288.50 : 413,139 = 413,139 : x
2. Step 2: Convert to fraction form
   301,288.50/413,139 = 413,139/x
3. Step 3: Cross multiply
   301,288.50x = 413,139 × 413,139
4. Step 4: Simplify right side
   301,288.50x = 170,683,833,321
5. Step 5: Solve for x
   x = 170,683,833,321/301,288.50
6. Step 6: Final answer
   x = 566,512.94