Finding the Third Proportional to 72,670 and 155,695

Step by Step Solution

1. Step 1: Write the proportion equation
   72,670 : 155,695 = 155,695 : x
2. Step 2: Convert to fraction form
   72,670/155,695 = 155,695/x
3. Step 3: Cross multiply
   72,670x = 155,695 × 155,695
4. Step 4: Simplify right side
   72,670x = 24,240,933,025
5. Step 5: Solve for x
   x = 24,240,933,025/72,670
6. Step 6: Final answer
   x = 333,575.52