Finding the Third Proportional to 53,670 and 114,270

Step by Step Solution

1. Step 1: Write the proportion equation
   53,670 : 114,270 = 114,270 : x
2. Step 2: Convert to fraction form
   53,670/114,270 = 114,270/x
3. Step 3: Cross multiply
   53,670x = 114,270 × 114,270
4. Step 4: Simplify right side
   53,670x = 13,057,632,900
5. Step 5: Solve for x
   x = 13,057,632,900/53,670
6. Step 6: Final answer
   x = 243,294.82