Finding the Third Proportional to 355,693.50 and 542,574

Step by Step Solution

1. Step 1: Write the proportion equation
   355,693.50 : 542,574 = 542,574 : x
2. Step 2: Convert to fraction form
   355,693.50/542,574 = 542,574/x
3. Step 3: Cross multiply
   355,693.50x = 542,574 × 542,574
4. Step 4: Simplify right side
   355,693.50x = 294,386,545,476
5. Step 5: Solve for x
   x = 294,386,545,476/355,693.50
6. Step 6: Final answer
   x = 827,641.06