Finding the Third Proportional to 458,874 and 645,043.50

Step by Step Solution

1. Step 1: Write the proportion equation
   458,874 : 645,043.50 = 645,043.50 : x
2. Step 2: Convert to fraction form
   458,874/645,043.50 = 645,043.50/x
3. Step 3: Cross multiply
   458,874x = 645,043.50 × 645,043.50
4. Step 4: Simplify right side
   458,874x = 416,081,116,892.25
5. Step 5: Solve for x
   x = 416,081,116,892.25/458,874
6. Step 6: Final answer
   x = 906,743.72