Finding the Third Proportional to 265,978 and 398,962.50

Step by Step Solution

1. Step 1: Write the proportion equation
   265,978 : 398,962.50 = 398,962.50 : x
2. Step 2: Convert to fraction form
   265,978/398,962.50 = 398,962.50/x
3. Step 3: Cross multiply
   265,978x = 398,962.50 × 398,962.50
4. Step 4: Simplify right side
   265,978x = 159,171,076,406.25
5. Step 5: Solve for x
   x = 159,171,076,406.25/265,978
6. Step 6: Final answer
   x = 598,437.00