Finding the Third Proportional to 65,772 and 142,053.38

Step by Step Solution

1. Step 1: Write the proportion equation
   65,772 : 142,053.38 = 142,053.38 : x
2. Step 2: Convert to fraction form
   65,772/142,053.38 = 142,053.38/x
3. Step 3: Cross multiply
   65,772x = 142,053.38 × 142,053.38
4. Step 4: Simplify right side
   65,772x = 20,179,161,348.89
5. Step 5: Solve for x
   x = 20,179,161,348.89/65,772
6. Step 6: Final answer
   x = 306,804.74