Finding the Third Proportional to 61,156 and 132,296

Step by Step Solution

1. Step 1: Write the proportion equation
   61,156 : 132,296 = 132,296 : x
2. Step 2: Convert to fraction form
   61,156/132,296 = 132,296/x
3. Step 3: Cross multiply
   61,156x = 132,296 × 132,296
4. Step 4: Simplify right side
   61,156x = 17,502,231,616
5. Step 5: Solve for x
   x = 17,502,231,616/61,156
6. Step 6: Final answer
   x = 286,189.93