Finding the Third Proportional to 193,878 and 279,241.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,878 : 279,241.50 = 279,241.50 : x
2. Step 2: Convert to fraction form
   193,878/279,241.50 = 279,241.50/x
3. Step 3: Cross multiply
   193,878x = 279,241.50 × 279,241.50
4. Step 4: Simplify right side
   193,878x = 77,975,815,322.25
5. Step 5: Solve for x
   x = 77,975,815,322.25/193,878
6. Step 6: Final answer
   x = 402,190.12