Finding the Third Proportional to 198,306 and 435,978

Step by Step Solution

1. Step 1: Write the proportion equation
   198,306 : 435,978 = 435,978 : x
2. Step 2: Convert to fraction form
   198,306/435,978 = 435,978/x
3. Step 3: Cross multiply
   198,306x = 435,978 × 435,978
4. Step 4: Simplify right side
   198,306x = 190,076,816,484
5. Step 5: Solve for x
   x = 190,076,816,484/198,306
6. Step 6: Final answer
   x = 958,502.60