Finding the Third Proportional to 460,758 and 721,233.75

Step by Step Solution

1. Step 1: Write the proportion equation
   460,758 : 721,233.75 = 721,233.75 : x
2. Step 2: Convert to fraction form
   460,758/721,233.75 = 721,233.75/x
3. Step 3: Cross multiply
   460,758x = 721,233.75 × 721,233.75
4. Step 4: Simplify right side
   460,758x = 520,178,122,139.06
5. Step 5: Solve for x
   x = 520,178,122,139.06/460,758
6. Step 6: Final answer
   x = 1,128,961.67