Finding the Third Proportional to 71,704 and 155,978

Step by Step Solution

1. Step 1: Write the proportion equation
   71,704 : 155,978 = 155,978 : x
2. Step 2: Convert to fraction form
   71,704/155,978 = 155,978/x
3. Step 3: Cross multiply
   71,704x = 155,978 × 155,978
4. Step 4: Simplify right side
   71,704x = 24,329,136,484
5. Step 5: Solve for x
   x = 24,329,136,484/71,704
6. Step 6: Final answer
   x = 339,299.57