Finding the Third Proportional to 156,824 and 333,876

Step by Step Solution

1. Step 1: Write the proportion equation
   156,824 : 333,876 = 333,876 : x
2. Step 2: Convert to fraction form
   156,824/333,876 = 333,876/x
3. Step 3: Cross multiply
   156,824x = 333,876 × 333,876
4. Step 4: Simplify right side
   156,824x = 111,473,183,376
5. Step 5: Solve for x
   x = 111,473,183,376/156,824
6. Step 6: Final answer
   x = 710,817.12