Finding the Third Proportional to 57,146 and 117,076

Step by Step Solution

1. Step 1: Write the proportion equation
   57,146 : 117,076 = 117,076 : x
2. Step 2: Convert to fraction form
   57,146/117,076 = 117,076/x
3. Step 3: Cross multiply
   57,146x = 117,076 × 117,076
4. Step 4: Simplify right side
   57,146x = 13,706,789,776
5. Step 5: Solve for x
   x = 13,706,789,776/57,146
6. Step 6: Final answer
   x = 239,855.63