Finding the Third Proportional to 52,031 and 111,961

Step by Step Solution

1. Step 1: Write the proportion equation
   52,031 : 111,961 = 111,961 : x
2. Step 2: Convert to fraction form
   52,031/111,961 = 111,961/x
3. Step 3: Cross multiply
   52,031x = 111,961 × 111,961
4. Step 4: Simplify right side
   52,031x = 12,535,265,521
5. Step 5: Solve for x
   x = 12,535,265,521/52,031
6. Step 6: Final answer
   x = 240,919.17