Finding the Third Proportional to 94,388 and 144,864

Step by Step Solution

1. Step 1: Write the proportion equation
   94,388 : 144,864 = 144,864 : x
2. Step 2: Convert to fraction form
   94,388/144,864 = 144,864/x
3. Step 3: Cross multiply
   94,388x = 144,864 × 144,864
4. Step 4: Simplify right side
   94,388x = 20,985,578,496
5. Step 5: Solve for x
   x = 20,985,578,496/94,388
6. Step 6: Final answer
   x = 222,333.12