Finding the Third Proportional to 355,696.50 and 542,442

Step by Step Solution

1. Step 1: Write the proportion equation
   355,696.50 : 542,442 = 542,442 : x
2. Step 2: Convert to fraction form
   355,696.50/542,442 = 542,442/x
3. Step 3: Cross multiply
   355,696.50x = 542,442 × 542,442
4. Step 4: Simplify right side
   355,696.50x = 294,243,323,364
5. Step 5: Solve for x
   x = 294,243,323,364/355,696.50
6. Step 6: Final answer
   x = 827,231.43