Finding the Third Proportional to 277,279 and 414,070.50

Step by Step Solution

1. Step 1: Write the proportion equation
   277,279 : 414,070.50 = 414,070.50 : x
2. Step 2: Convert to fraction form
   277,279/414,070.50 = 414,070.50/x
3. Step 3: Cross multiply
   277,279x = 414,070.50 × 414,070.50
4. Step 4: Simplify right side
   277,279x = 171,454,378,970.25
5. Step 5: Solve for x
   x = 171,454,378,970.25/277,279
6. Step 6: Final answer
   x = 618,346.07