Finding the Third Proportional to 338,175 and 522,146.25

Step by Step Solution

1. Step 1: Write the proportion equation
   338,175 : 522,146.25 = 522,146.25 : x
2. Step 2: Convert to fraction form
   338,175/522,146.25 = 522,146.25/x
3. Step 3: Cross multiply
   338,175x = 522,146.25 × 522,146.25
4. Step 4: Simplify right side
   338,175x = 272,636,706,389.06
5. Step 5: Solve for x
   x = 272,636,706,389.06/338,175
6. Step 6: Final answer
   x = 806,200.06