Finding the Third Proportional to 135,730.69 and 186,145.59

Step by Step Solution

1. Step 1: Write the proportion equation
   135,730.69 : 186,145.59 = 186,145.59 : x
2. Step 2: Convert to fraction form
   135,730.69/186,145.59 = 186,145.59/x
3. Step 3: Cross multiply
   135,730.69x = 186,145.59 × 186,145.59
4. Step 4: Simplify right side
   135,730.69x = 34,650,182,072.54
5. Step 5: Solve for x
   x = 34,650,182,072.54/135,730.69
6. Step 6: Final answer
   x = 255,286.28