Finding the Third Proportional to 234,078 and 363,144

Step by Step Solution

1. Step 1: Write the proportion equation
   234,078 : 363,144 = 363,144 : x
2. Step 2: Convert to fraction form
   234,078/363,144 = 363,144/x
3. Step 3: Cross multiply
   234,078x = 363,144 × 363,144
4. Step 4: Simplify right side
   234,078x = 131,873,564,736
5. Step 5: Solve for x
   x = 131,873,564,736/234,078
6. Step 6: Final answer
   x = 563,374.45