Finding the Third Proportional to 219,024 and 242,064

Step by Step Solution

1. Step 1: Write the proportion equation
   219,024 : 242,064 = 242,064 : x
2. Step 2: Convert to fraction form
   219,024/242,064 = 242,064/x
3. Step 3: Cross multiply
   219,024x = 242,064 × 242,064
4. Step 4: Simplify right side
   219,024x = 58,594,980,096
5. Step 5: Solve for x
   x = 58,594,980,096/219,024
6. Step 6: Final answer
   x = 267,527.67