Finding the Third Proportional to 362,142 and 540,774

Step by Step Solution

1. Step 1: Write the proportion equation
   362,142 : 540,774 = 540,774 : x
2. Step 2: Convert to fraction form
   362,142/540,774 = 540,774/x
3. Step 3: Cross multiply
   362,142x = 540,774 × 540,774
4. Step 4: Simplify right side
   362,142x = 292,436,519,076
5. Step 5: Solve for x
   x = 292,436,519,076/362,142
6. Step 6: Final answer
   x = 807,518.93