Finding the Third Proportional to 61,404 and 132,204

Step by Step Solution

1. Step 1: Write the proportion equation
   61,404 : 132,204 = 132,204 : x
2. Step 2: Convert to fraction form
   61,404/132,204 = 132,204/x
3. Step 3: Cross multiply
   61,404x = 132,204 × 132,204
4. Step 4: Simplify right side
   61,404x = 17,477,897,616
5. Step 5: Solve for x
   x = 17,477,897,616/61,404
6. Step 6: Final answer
   x = 284,637.77