Finding the Third Proportional to 53,219 and 86,521

Step by Step Solution

1. Step 1: Write the proportion equation
   53,219 : 86,521 = 86,521 : x
2. Step 2: Convert to fraction form
   53,219/86,521 = 86,521/x
3. Step 3: Cross multiply
   53,219x = 86,521 × 86,521
4. Step 4: Simplify right side
   53,219x = 7,485,883,441
5. Step 5: Solve for x
   x = 7,485,883,441/53,219
6. Step 6: Final answer
   x = 140,661.86