Finding the Third Proportional to 277,681.50 and 412,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   277,681.50 : 412,870.50 = 412,870.50 : x
2. Step 2: Convert to fraction form
   277,681.50/412,870.50 = 412,870.50/x
3. Step 3: Cross multiply
   277,681.50x = 412,870.50 × 412,870.50
4. Step 4: Simplify right side
   277,681.50x = 170,462,049,770.25
5. Step 5: Solve for x
   x = 170,462,049,770.25/277,681.50
6. Step 6: Final answer
   x = 613,876.15