Finding the Third Proportional to 65,776 and 142,063

Step by Step Solution

1. Step 1: Write the proportion equation
   65,776 : 142,063 = 142,063 : x
2. Step 2: Convert to fraction form
   65,776/142,063 = 142,063/x
3. Step 3: Cross multiply
   65,776x = 142,063 × 142,063
4. Step 4: Simplify right side
   65,776x = 20,181,895,969
5. Step 5: Solve for x
   x = 20,181,895,969/65,776
6. Step 6: Final answer
   x = 306,827.66