Finding the Third Proportional to 277,368 and 396,346.50

Step by Step Solution

1. Step 1: Write the proportion equation
   277,368 : 396,346.50 = 396,346.50 : x
2. Step 2: Convert to fraction form
   277,368/396,346.50 = 396,346.50/x
3. Step 3: Cross multiply
   277,368x = 396,346.50 × 396,346.50
4. Step 4: Simplify right side
   277,368x = 157,090,548,062.25
5. Step 5: Solve for x
   x = 157,090,548,062.25/277,368
6. Step 6: Final answer
   x = 566,361.47