Finding the Third Proportional to 277,810.50 and 414,886

Step by Step Solution

1. Step 1: Write the proportion equation
   277,810.50 : 414,886 = 414,886 : x
2. Step 2: Convert to fraction form
   277,810.50/414,886 = 414,886/x
3. Step 3: Cross multiply
   277,810.50x = 414,886 × 414,886
4. Step 4: Simplify right side
   277,810.50x = 172,130,392,996
5. Step 5: Solve for x
   x = 172,130,392,996/277,810.50
6. Step 6: Final answer
   x = 619,596.43