Finding the Third Proportional to 59,823 and 87,588

Step by Step Solution

1. Step 1: Write the proportion equation
   59,823 : 87,588 = 87,588 : x
2. Step 2: Convert to fraction form
   59,823/87,588 = 87,588/x
3. Step 3: Cross multiply
   59,823x = 87,588 × 87,588
4. Step 4: Simplify right side
   59,823x = 7,671,657,744
5. Step 5: Solve for x
   x = 7,671,657,744/59,823
6. Step 6: Final answer
   x = 128,239.27