Finding the Third Proportional to 277,344 and 364,216.50

Step by Step Solution

1. Step 1: Write the proportion equation
   277,344 : 364,216.50 = 364,216.50 : x
2. Step 2: Convert to fraction form
   277,344/364,216.50 = 364,216.50/x
3. Step 3: Cross multiply
   277,344x = 364,216.50 × 364,216.50
4. Step 4: Simplify right side
   277,344x = 132,653,658,872.25
5. Step 5: Solve for x
   x = 132,653,658,872.25/277,344
6. Step 6: Final answer
   x = 478,300.09