Finding the Third Proportional to 61,306 and 132,286.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,306 : 132,286.50 = 132,286.50 : x
2. Step 2: Convert to fraction form
   61,306/132,286.50 = 132,286.50/x
3. Step 3: Cross multiply
   61,306x = 132,286.50 × 132,286.50
4. Step 4: Simplify right side
   61,306x = 17,499,718,082.25
5. Step 5: Solve for x
   x = 17,499,718,082.25/61,306
6. Step 6: Final answer
   x = 285,448.70