Finding the Third Proportional to 233,151.75 and 460,845

Step by Step Solution

1. Step 1: Write the proportion equation
   233,151.75 : 460,845 = 460,845 : x
2. Step 2: Convert to fraction form
   233,151.75/460,845 = 460,845/x
3. Step 3: Cross multiply
   233,151.75x = 460,845 × 460,845
4. Step 4: Simplify right side
   233,151.75x = 212,378,114,025
5. Step 5: Solve for x
   x = 212,378,114,025/233,151.75
6. Step 6: Final answer
   x = 910,900.79