Finding the Third Proportional to 67,500.75 and 156,269.25

Step by Step Solution

1. Step 1: Write the proportion equation
   67,500.75 : 156,269.25 = 156,269.25 : x
2. Step 2: Convert to fraction form
   67,500.75/156,269.25 = 156,269.25/x
3. Step 3: Cross multiply
   67,500.75x = 156,269.25 × 156,269.25
4. Step 4: Simplify right side
   67,500.75x = 24,420,078,495.56
5. Step 5: Solve for x
   x = 24,420,078,495.56/67,500.75
6. Step 6: Final answer
   x = 361,774.92