Finding the Third Proportional to 80,229 and 123,328.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,229 : 123,328.50 = 123,328.50 : x
2. Step 2: Convert to fraction form
   80,229/123,328.50 = 123,328.50/x
3. Step 3: Cross multiply
   80,229x = 123,328.50 × 123,328.50
4. Step 4: Simplify right side
   80,229x = 15,209,918,912.25
5. Step 5: Solve for x
   x = 15,209,918,912.25/80,229
6. Step 6: Final answer
   x = 189,581.31