Finding the Third Proportional to 81,567 and 151,267.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,567 : 151,267.50 = 151,267.50 : x
2. Step 2: Convert to fraction form
   81,567/151,267.50 = 151,267.50/x
3. Step 3: Cross multiply
   81,567x = 151,267.50 × 151,267.50
4. Step 4: Simplify right side
   81,567x = 22,881,856,556.25
5. Step 5: Solve for x
   x = 22,881,856,556.25/81,567
6. Step 6: Final answer
   x = 280,528.36