Finding the Third Proportional to 67,509 and 156,288

Step by Step Solution

1. Step 1: Write the proportion equation
   67,509 : 156,288 = 156,288 : x
2. Step 2: Convert to fraction form
   67,509/156,288 = 156,288/x
3. Step 3: Cross multiply
   67,509x = 156,288 × 156,288
4. Step 4: Simplify right side
   67,509x = 24,425,938,944
5. Step 5: Solve for x
   x = 24,425,938,944/67,509
6. Step 6: Final answer
   x = 361,817.52