Finding the Third Proportional to 61,152 and 132,288

Step by Step Solution

1. Step 1: Write the proportion equation
   61,152 : 132,288 = 132,288 : x
2. Step 2: Convert to fraction form
   61,152/132,288 = 132,288/x
3. Step 3: Cross multiply
   61,152x = 132,288 × 132,288
4. Step 4: Simplify right side
   61,152x = 17,500,114,944
5. Step 5: Solve for x
   x = 17,500,114,944/61,152
6. Step 6: Final answer
   x = 286,174.04