Finding the Third Proportional to 277,323 and 396,298.50

Step by Step Solution

1. Step 1: Write the proportion equation
   277,323 : 396,298.50 = 396,298.50 : x
2. Step 2: Convert to fraction form
   277,323/396,298.50 = 396,298.50/x
3. Step 3: Cross multiply
   277,323x = 396,298.50 × 396,298.50
4. Step 4: Simplify right side
   277,323x = 157,052,501,102.25
5. Step 5: Solve for x
   x = 157,052,501,102.25/277,323
6. Step 6: Final answer
   x = 566,316.18