Finding the Third Proportional to 53,311 and 114,004

Step by Step Solution

1. Step 1: Write the proportion equation
   53,311 : 114,004 = 114,004 : x
2. Step 2: Convert to fraction form
   53,311/114,004 = 114,004/x
3. Step 3: Cross multiply
   53,311x = 114,004 × 114,004
4. Step 4: Simplify right side
   53,311x = 12,996,912,016
5. Step 5: Solve for x
   x = 12,996,912,016/53,311
6. Step 6: Final answer
   x = 243,794.19