Finding the Third Proportional to 53,251 and 85,789

Step by Step Solution

1. Step 1: Write the proportion equation
   53,251 : 85,789 = 85,789 : x
2. Step 2: Convert to fraction form
   53,251/85,789 = 85,789/x
3. Step 3: Cross multiply
   53,251x = 85,789 × 85,789
4. Step 4: Simplify right side
   53,251x = 7,359,752,521
5. Step 5: Solve for x
   x = 7,359,752,521/53,251
6. Step 6: Final answer
   x = 138,208.72