Finding the Third Proportional to 60,875 and 132,823

Step by Step Solution

1. Step 1: Write the proportion equation
   60,875 : 132,823 = 132,823 : x
2. Step 2: Convert to fraction form
   60,875/132,823 = 132,823/x
3. Step 3: Cross multiply
   60,875x = 132,823 × 132,823
4. Step 4: Simplify right side
   60,875x = 17,641,949,329
5. Step 5: Solve for x
   x = 17,641,949,329/60,875
6. Step 6: Final answer
   x = 289,806.15