Finding the Third Proportional to 274,816 and 437,144

Step by Step Solution

1. Step 1: Write the proportion equation
   274,816 : 437,144 = 437,144 : x
2. Step 2: Convert to fraction form
   274,816/437,144 = 437,144/x
3. Step 3: Cross multiply
   274,816x = 437,144 × 437,144
4. Step 4: Simplify right side
   274,816x = 191,094,876,736
5. Step 5: Solve for x
   x = 191,094,876,736/274,816
6. Step 6: Final answer
   x = 695,355.72