Finding the Third Proportional to 65,977 and 142,159

Step by Step Solution

1. Step 1: Write the proportion equation
   65,977 : 142,159 = 142,159 : x
2. Step 2: Convert to fraction form
   65,977/142,159 = 142,159/x
3. Step 3: Cross multiply
   65,977x = 142,159 × 142,159
4. Step 4: Simplify right side
   65,977x = 20,209,181,281
5. Step 5: Solve for x
   x = 20,209,181,281/65,977
6. Step 6: Final answer
   x = 306,306.46