Finding the Third Proportional to 402,036 and 546,000

Step by Step Solution

1. Step 1: Write the proportion equation
   402,036 : 546,000 = 546,000 : x
2. Step 2: Convert to fraction form
   402,036/546,000 = 546,000/x
3. Step 3: Cross multiply
   402,036x = 546,000 × 546,000
4. Step 4: Simplify right side
   402,036x = 298,116,000,000
5. Step 5: Solve for x
   x = 298,116,000,000/402,036
6. Step 6: Final answer
   x = 741,515.69