Finding the Third Proportional to 52,141 and 114,083

Step by Step Solution

1. Step 1: Write the proportion equation
   52,141 : 114,083 = 114,083 : x
2. Step 2: Convert to fraction form
   52,141/114,083 = 114,083/x
3. Step 3: Cross multiply
   52,141x = 114,083 × 114,083
4. Step 4: Simplify right side
   52,141x = 13,014,930,889
5. Step 5: Solve for x
   x = 13,014,930,889/52,141
6. Step 6: Final answer
   x = 249,610.30