Finding the Third Proportional to 129,567 and 280,354.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,567 : 280,354.50 = 280,354.50 : x
2. Step 2: Convert to fraction form
   129,567/280,354.50 = 280,354.50/x
3. Step 3: Cross multiply
   129,567x = 280,354.50 × 280,354.50
4. Step 4: Simplify right side
   129,567x = 78,598,645,670.25
5. Step 5: Solve for x
   x = 78,598,645,670.25/129,567
6. Step 6: Final answer
   x = 606,625.50