Finding the Third Proportional to 277,821 and 414,901.50

Step by Step Solution

1. Step 1: Write the proportion equation
   277,821 : 414,901.50 = 414,901.50 : x
2. Step 2: Convert to fraction form
   277,821/414,901.50 = 414,901.50/x
3. Step 3: Cross multiply
   277,821x = 414,901.50 × 414,901.50
4. Step 4: Simplify right side
   277,821x = 172,143,254,702.25
5. Step 5: Solve for x
   x = 172,143,254,702.25/277,821
6. Step 6: Final answer
   x = 619,619.30