Finding the Third Proportional to 74,385 and 154,786.50

Step by Step Solution

1. Step 1: Write the proportion equation
   74,385 : 154,786.50 = 154,786.50 : x
2. Step 2: Convert to fraction form
   74,385/154,786.50 = 154,786.50/x
3. Step 3: Cross multiply
   74,385x = 154,786.50 × 154,786.50
4. Step 4: Simplify right side
   74,385x = 23,958,860,582.25
5. Step 5: Solve for x
   x = 23,958,860,582.25/74,385
6. Step 6: Final answer
   x = 322,092.63