Finding the Third Proportional to 154,097 and 333,466

Step by Step Solution

1. Step 1: Write the proportion equation
   154,097 : 333,466 = 333,466 : x
2. Step 2: Convert to fraction form
   154,097/333,466 = 333,466/x
3. Step 3: Cross multiply
   154,097x = 333,466 × 333,466
4. Step 4: Simplify right side
   154,097x = 111,199,573,156
5. Step 5: Solve for x
   x = 111,199,573,156/154,097
6. Step 6: Final answer
   x = 721,620.62