Finding the Third Proportional to 242,727 and 376,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   242,727 : 376,870.50 = 376,870.50 : x
2. Step 2: Convert to fraction form
   242,727/376,870.50 = 376,870.50/x
3. Step 3: Cross multiply
   242,727x = 376,870.50 × 376,870.50
4. Step 4: Simplify right side
   242,727x = 142,031,373,770.25
5. Step 5: Solve for x
   x = 142,031,373,770.25/242,727
6. Step 6: Final answer
   x = 585,148.64