Finding the Third Proportional to 456,427 and 667,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   456,427 : 667,738.50 = 667,738.50 : x
2. Step 2: Convert to fraction form
   456,427/667,738.50 = 667,738.50/x
3. Step 3: Cross multiply
   456,427x = 667,738.50 × 667,738.50
4. Step 4: Simplify right side
   456,427x = 445,874,704,382.25
5. Step 5: Solve for x
   x = 445,874,704,382.25/456,427
6. Step 6: Final answer
   x = 976,880.65