Finding the Third Proportional to 334,665 and 468,099

Step by Step Solution

1. Step 1: Write the proportion equation
   334,665 : 468,099 = 468,099 : x
2. Step 2: Convert to fraction form
   334,665/468,099 = 468,099/x
3. Step 3: Cross multiply
   334,665x = 468,099 × 468,099
4. Step 4: Simplify right side
   334,665x = 219,116,673,801
5. Step 5: Solve for x
   x = 219,116,673,801/334,665
6. Step 6: Final answer
   x = 654,734.36