Finding the Third Proportional to 61,400 and 132,196

Step by Step Solution

1. Step 1: Write the proportion equation
   61,400 : 132,196 = 132,196 : x
2. Step 2: Convert to fraction form
   61,400/132,196 = 132,196/x
3. Step 3: Cross multiply
   61,400x = 132,196 × 132,196
4. Step 4: Simplify right side
   61,400x = 17,475,782,416
5. Step 5: Solve for x
   x = 17,475,782,416/61,400
6. Step 6: Final answer
   x = 284,621.86