Finding the Third Proportional to 156,838 and 339,560

Step by Step Solution

1. Step 1: Write the proportion equation
   156,838 : 339,560 = 339,560 : x
2. Step 2: Convert to fraction form
   156,838/339,560 = 339,560/x
3. Step 3: Cross multiply
   156,838x = 339,560 × 339,560
4. Step 4: Simplify right side
   156,838x = 115,300,993,600
5. Step 5: Solve for x
   x = 115,300,993,600/156,838
6. Step 6: Final answer
   x = 735,159.81