Finding the Third Proportional to 144,064 and 218,086

Step by Step Solution

1. Step 1: Write the proportion equation
   144,064 : 218,086 = 218,086 : x
2. Step 2: Convert to fraction form
   144,064/218,086 = 218,086/x
3. Step 3: Cross multiply
   144,064x = 218,086 × 218,086
4. Step 4: Simplify right side
   144,064x = 47,561,503,396
5. Step 5: Solve for x
   x = 47,561,503,396/144,064
6. Step 6: Final answer
   x = 330,141.49