Finding the Third Proportional to 462,906 and 721,424.25

Step by Step Solution

1. Step 1: Write the proportion equation
   462,906 : 721,424.25 = 721,424.25 : x
2. Step 2: Convert to fraction form
   462,906/721,424.25 = 721,424.25/x
3. Step 3: Cross multiply
   462,906x = 721,424.25 × 721,424.25
4. Step 4: Simplify right side
   462,906x = 520,452,948,488.06
5. Step 5: Solve for x
   x = 520,452,948,488.06/462,906
6. Step 6: Final answer
   x = 1,124,316.70