Finding the Third Proportional to 278,007 and 460,144.50

Step by Step Solution

1. Step 1: Write the proportion equation
   278,007 : 460,144.50 = 460,144.50 : x
2. Step 2: Convert to fraction form
   278,007/460,144.50 = 460,144.50/x
3. Step 3: Cross multiply
   278,007x = 460,144.50 × 460,144.50
4. Step 4: Simplify right side
   278,007x = 211,732,960,880.25
5. Step 5: Solve for x
   x = 211,732,960,880.25/278,007
6. Step 6: Final answer
   x = 761,610.18