Finding the Third Proportional to 230,897 and 334,105

Step by Step Solution

1. Step 1: Write the proportion equation
   230,897 : 334,105 = 334,105 : x
2. Step 2: Convert to fraction form
   230,897/334,105 = 334,105/x
3. Step 3: Cross multiply
   230,897x = 334,105 × 334,105
4. Step 4: Simplify right side
   230,897x = 111,626,151,025
5. Step 5: Solve for x
   x = 111,626,151,025/230,897
6. Step 6: Final answer
   x = 483,445.65