Finding the Third Proportional to 49,670 and 108,064

Step by Step Solution

1. Step 1: Write the proportion equation
   49,670 : 108,064 = 108,064 : x
2. Step 2: Convert to fraction form
   49,670/108,064 = 108,064/x
3. Step 3: Cross multiply
   49,670x = 108,064 × 108,064
4. Step 4: Simplify right side
   49,670x = 11,677,828,096
5. Step 5: Solve for x
   x = 11,677,828,096/49,670
6. Step 6: Final answer
   x = 235,108.28