Finding the Third Proportional to 282,960 and 402,300

Step by Step Solution

1. Step 1: Write the proportion equation
   282,960 : 402,300 = 402,300 : x
2. Step 2: Convert to fraction form
   282,960/402,300 = 402,300/x
3. Step 3: Cross multiply
   282,960x = 402,300 × 402,300
4. Step 4: Simplify right side
   282,960x = 161,845,290,000
5. Step 5: Solve for x
   x = 161,845,290,000/282,960
6. Step 6: Final answer
   x = 571,972.33