Finding the Third Proportional to 72,802 and 111,307

Step by Step Solution

1. Step 1: Write the proportion equation
   72,802 : 111,307 = 111,307 : x
2. Step 2: Convert to fraction form
   72,802/111,307 = 111,307/x
3. Step 3: Cross multiply
   72,802x = 111,307 × 111,307
4. Step 4: Simplify right side
   72,802x = 12,389,248,249
5. Step 5: Solve for x
   x = 12,389,248,249/72,802
6. Step 6: Final answer
   x = 170,177.31