Finding the Third Proportional to 277,768 and 414,821.50

Step by Step Solution

1. Step 1: Write the proportion equation
   277,768 : 414,821.50 = 414,821.50 : x
2. Step 2: Convert to fraction form
   277,768/414,821.50 = 414,821.50/x
3. Step 3: Cross multiply
   277,768x = 414,821.50 × 414,821.50
4. Step 4: Simplify right side
   277,768x = 172,076,876,862.25
5. Step 5: Solve for x
   x = 172,076,876,862.25/277,768
6. Step 6: Final answer
   x = 619,498.56