Finding the Third Proportional to 102,269 and 156,974.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,269 : 156,974.50 = 156,974.50 : x
2. Step 2: Convert to fraction form
   102,269/156,974.50 = 156,974.50/x
3. Step 3: Cross multiply
   102,269x = 156,974.50 × 156,974.50
4. Step 4: Simplify right side
   102,269x = 24,640,993,650.25
5. Step 5: Solve for x
   x = 24,640,993,650.25/102,269
6. Step 6: Final answer
   x = 240,942.94