Finding the Third Proportional to 156,224 and 340,960

Step by Step Solution

1. Step 1: Write the proportion equation
   156,224 : 340,960 = 340,960 : x
2. Step 2: Convert to fraction form
   156,224/340,960 = 340,960/x
3. Step 3: Cross multiply
   156,224x = 340,960 × 340,960
4. Step 4: Simplify right side
   156,224x = 116,253,721,600
5. Step 5: Solve for x
   x = 116,253,721,600/156,224
6. Step 6: Final answer
   x = 744,147.64