Finding the Third Proportional to 79,759 and 175,241.50

Step by Step Solution

1. Step 1: Write the proportion equation
   79,759 : 175,241.50 = 175,241.50 : x
2. Step 2: Convert to fraction form
   79,759/175,241.50 = 175,241.50/x
3. Step 3: Cross multiply
   79,759x = 175,241.50 × 175,241.50
4. Step 4: Simplify right side
   79,759x = 30,709,583,322.25
5. Step 5: Solve for x
   x = 30,709,583,322.25/79,759
6. Step 6: Final answer
   x = 385,029.69