Finding the Third Proportional to 146,181.25 and 314,921

Step by Step Solution

1. Step 1: Write the proportion equation
   146,181.25 : 314,921 = 314,921 : x
2. Step 2: Convert to fraction form
   146,181.25/314,921 = 314,921/x
3. Step 3: Cross multiply
   146,181.25x = 314,921 × 314,921
4. Step 4: Simplify right side
   146,181.25x = 99,175,236,241
5. Step 5: Solve for x
   x = 99,175,236,241/146,181.25
6. Step 6: Final answer
   x = 678,440.20