Finding the Third Proportional to 156,384 and 342,336

Step by Step Solution

1. Step 1: Write the proportion equation
   156,384 : 342,336 = 342,336 : x
2. Step 2: Convert to fraction form
   156,384/342,336 = 342,336/x
3. Step 3: Cross multiply
   156,384x = 342,336 × 342,336
4. Step 4: Simplify right side
   156,384x = 117,193,936,896
5. Step 5: Solve for x
   x = 117,193,936,896/156,384
6. Step 6: Final answer
   x = 749,398.51