Finding the Third Proportional to 75,772 and 142,064

Step by Step Solution

1. Step 1: Write the proportion equation
   75,772 : 142,064 = 142,064 : x
2. Step 2: Convert to fraction form
   75,772/142,064 = 142,064/x
3. Step 3: Cross multiply
   75,772x = 142,064 × 142,064
4. Step 4: Simplify right side
   75,772x = 20,182,180,096
5. Step 5: Solve for x
   x = 20,182,180,096/75,772
6. Step 6: Final answer
   x = 266,354.06