Finding the Third Proportional to 156,946 and 333,494

Step by Step Solution

1. Step 1: Write the proportion equation
   156,946 : 333,494 = 333,494 : x
2. Step 2: Convert to fraction form
   156,946/333,494 = 333,494/x
3. Step 3: Cross multiply
   156,946x = 333,494 × 333,494
4. Step 4: Simplify right side
   156,946x = 111,218,248,036
5. Step 5: Solve for x
   x = 111,218,248,036/156,946
6. Step 6: Final answer
   x = 708,640.22