Finding the Third Proportional to 80,586 and 187,321.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,586 : 187,321.50 = 187,321.50 : x
2. Step 2: Convert to fraction form
   80,586/187,321.50 = 187,321.50/x
3. Step 3: Cross multiply
   80,586x = 187,321.50 × 187,321.50
4. Step 4: Simplify right side
   80,586x = 35,089,344,362.25
5. Step 5: Solve for x
   x = 35,089,344,362.25/80,586
6. Step 6: Final answer
   x = 435,427.30