Finding the Third Proportional to 61,564 and 132,322

Step by Step Solution

1. Step 1: Write the proportion equation
   61,564 : 132,322 = 132,322 : x
2. Step 2: Convert to fraction form
   61,564/132,322 = 132,322/x
3. Step 3: Cross multiply
   61,564x = 132,322 × 132,322
4. Step 4: Simplify right side
   61,564x = 17,509,111,684
5. Step 5: Solve for x
   x = 17,509,111,684/61,564
6. Step 6: Final answer
   x = 284,405.04