Finding the Third Proportional to 142,094.25 and 205,284.38

Step by Step Solution

1. Step 1: Write the proportion equation
   142,094.25 : 205,284.38 = 205,284.38 : x
2. Step 2: Convert to fraction form
   142,094.25/205,284.38 = 205,284.38/x
3. Step 3: Cross multiply
   142,094.25x = 205,284.38 × 205,284.38
4. Step 4: Simplify right side
   142,094.25x = 42,141,674,619.14
5. Step 5: Solve for x
   x = 42,141,674,619.14/142,094.25
6. Step 6: Final answer
   x = 296,575.51