Finding the Third Proportional to 52,064 and 114,004

Step by Step Solution

1. Step 1: Write the proportion equation
   52,064 : 114,004 = 114,004 : x
2. Step 2: Convert to fraction form
   52,064/114,004 = 114,004/x
3. Step 3: Cross multiply
   52,064x = 114,004 × 114,004
4. Step 4: Simplify right side
   52,064x = 12,996,912,016
5. Step 5: Solve for x
   x = 12,996,912,016/52,064
6. Step 6: Final answer
   x = 249,633.37