Finding the Third Proportional to 66,519 and 142,262

Step by Step Solution

1. Step 1: Write the proportion equation
   66,519 : 142,262 = 142,262 : x
2. Step 2: Convert to fraction form
   66,519/142,262 = 142,262/x
3. Step 3: Cross multiply
   66,519x = 142,262 × 142,262
4. Step 4: Simplify right side
   66,519x = 20,238,476,644
5. Step 5: Solve for x
   x = 20,238,476,644/66,519
6. Step 6: Final answer
   x = 304,251.07