Finding the Third Proportional to 66,152 and 142,288

Step by Step Solution

1. Step 1: Write the proportion equation
   66,152 : 142,288 = 142,288 : x
2. Step 2: Convert to fraction form
   66,152/142,288 = 142,288/x
3. Step 3: Cross multiply
   66,152x = 142,288 × 142,288
4. Step 4: Simplify right side
   66,152x = 20,245,874,944
5. Step 5: Solve for x
   x = 20,245,874,944/66,152
6. Step 6: Final answer
   x = 306,050.84