Finding the Third Proportional to 188,880 and 285,139.50

Step by Step Solution

1. Step 1: Write the proportion equation
   188,880 : 285,139.50 = 285,139.50 : x
2. Step 2: Convert to fraction form
   188,880/285,139.50 = 285,139.50/x
3. Step 3: Cross multiply
   188,880x = 285,139.50 × 285,139.50
4. Step 4: Simplify right side
   188,880x = 81,304,534,460.25
5. Step 5: Solve for x
   x = 81,304,534,460.25/188,880
6. Step 6: Final answer
   x = 430,456.03