Finding the Third Proportional to 156,967 and 333,536

Step by Step Solution

1. Step 1: Write the proportion equation
   156,967 : 333,536 = 333,536 : x
2. Step 2: Convert to fraction form
   156,967/333,536 = 333,536/x
3. Step 3: Cross multiply
   156,967x = 333,536 × 333,536
4. Step 4: Simplify right side
   156,967x = 111,246,263,296
5. Step 5: Solve for x
   x = 111,246,263,296/156,967
6. Step 6: Final answer
   x = 708,723.89