Finding the Third Proportional to 61,188 and 132,168

Step by Step Solution

1. Step 1: Write the proportion equation
   61,188 : 132,168 = 132,168 : x
2. Step 2: Convert to fraction form
   61,188/132,168 = 132,168/x
3. Step 3: Cross multiply
   61,188x = 132,168 × 132,168
4. Step 4: Simplify right side
   61,188x = 17,468,380,224
5. Step 5: Solve for x
   x = 17,468,380,224/61,188
6. Step 6: Final answer
   x = 285,487.03