Finding the Third Proportional to 71,424 and 156,240

Step by Step Solution

1. Step 1: Write the proportion equation
   71,424 : 156,240 = 156,240 : x
2. Step 2: Convert to fraction form
   71,424/156,240 = 156,240/x
3. Step 3: Cross multiply
   71,424x = 156,240 × 156,240
4. Step 4: Simplify right side
   71,424x = 24,410,937,600
5. Step 5: Solve for x
   x = 24,410,937,600/71,424
6. Step 6: Final answer
   x = 341,775