Finding the Third Proportional to 69,543 and 150,172.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,543 : 150,172.50 = 150,172.50 : x
2. Step 2: Convert to fraction form
   69,543/150,172.50 = 150,172.50/x
3. Step 3: Cross multiply
   69,543x = 150,172.50 × 150,172.50
4. Step 4: Simplify right side
   69,543x = 22,551,779,756.25
5. Step 5: Solve for x
   x = 22,551,779,756.25/69,543
6. Step 6: Final answer
   x = 324,285.40