Finding the Third Proportional to 339,096.38 and 460,535.63

Step by Step Solution

1. Step 1: Write the proportion equation
   339,096.38 : 460,535.63 = 460,535.63 : x
2. Step 2: Convert to fraction form
   339,096.38/460,535.63 = 460,535.63/x
3. Step 3: Cross multiply
   339,096.38x = 460,535.63 × 460,535.63
4. Step 4: Simplify right side
   339,096.38x = 212,093,061,894.14
5. Step 5: Solve for x
   x = 212,093,061,894.14/339,096.38
6. Step 6: Final answer
   x = 625,465.44