Finding the Third Proportional to 66,785 and 142,774

Step by Step Solution

1. Step 1: Write the proportion equation
   66,785 : 142,774 = 142,774 : x
2. Step 2: Convert to fraction form
   66,785/142,774 = 142,774/x
3. Step 3: Cross multiply
   66,785x = 142,774 × 142,774
4. Step 4: Simplify right side
   66,785x = 20,384,415,076
5. Step 5: Solve for x
   x = 20,384,415,076/66,785
6. Step 6: Final answer
   x = 305,224.45