Finding the Third Proportional to 61,664 and 132,684

Step by Step Solution

1. Step 1: Write the proportion equation
   61,664 : 132,684 = 132,684 : x
2. Step 2: Convert to fraction form
   61,664/132,684 = 132,684/x
3. Step 3: Cross multiply
   61,664x = 132,684 × 132,684
4. Step 4: Simplify right side
   61,664x = 17,605,043,856
5. Step 5: Solve for x
   x = 17,605,043,856/61,664
6. Step 6: Final answer
   x = 285,499.54