Finding the Third Proportional to 464,514 and 678,844.50

Step by Step Solution

1. Step 1: Write the proportion equation
   464,514 : 678,844.50 = 678,844.50 : x
2. Step 2: Convert to fraction form
   464,514/678,844.50 = 678,844.50/x
3. Step 3: Cross multiply
   464,514x = 678,844.50 × 678,844.50
4. Step 4: Simplify right side
   464,514x = 460,829,855,180.25
5. Step 5: Solve for x
   x = 460,829,855,180.25/464,514
6. Step 6: Final answer
   x = 992,068.82