Finding the Third Proportional to 156,823 and 333,875

Step by Step Solution

1. Step 1: Write the proportion equation
   156,823 : 333,875 = 333,875 : x
2. Step 2: Convert to fraction form
   156,823/333,875 = 333,875/x
3. Step 3: Cross multiply
   156,823x = 333,875 × 333,875
4. Step 4: Simplify right side
   156,823x = 111,472,515,625
5. Step 5: Solve for x
   x = 111,472,515,625/156,823
6. Step 6: Final answer
   x = 710,817.39