Finding the Third Proportional to 98,325 and 213,333

Step by Step Solution

1. Step 1: Write the proportion equation
   98,325 : 213,333 = 213,333 : x
2. Step 2: Convert to fraction form
   98,325/213,333 = 213,333/x
3. Step 3: Cross multiply
   98,325x = 213,333 × 213,333
4. Step 4: Simplify right side
   98,325x = 45,510,968,889
5. Step 5: Solve for x
   x = 45,510,968,889/98,325
6. Step 6: Final answer
   x = 462,862.64