Finding the Third Proportional to 342,144 and 492,840

Step by Step Solution

1. Step 1: Write the proportion equation
   342,144 : 492,840 = 492,840 : x
2. Step 2: Convert to fraction form
   342,144/492,840 = 492,840/x
3. Step 3: Cross multiply
   342,144x = 492,840 × 492,840
4. Step 4: Simplify right side
   342,144x = 242,891,265,600
5. Step 5: Solve for x
   x = 242,891,265,600/342,144
6. Step 6: Final answer
   x = 709,909.47