Finding the Third Proportional to 80,618 and 187,389.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,618 : 187,389.50 = 187,389.50 : x
2. Step 2: Convert to fraction form
   80,618/187,389.50 = 187,389.50/x
3. Step 3: Cross multiply
   80,618x = 187,389.50 × 187,389.50
4. Step 4: Simplify right side
   80,618x = 35,114,824,710.25
5. Step 5: Solve for x
   x = 35,114,824,710.25/80,618
6. Step 6: Final answer
   x = 435,570.53