Finding the Third Proportional to 242,533.50 and 510,205.69

Step by Step Solution

1. Step 1: Write the proportion equation
   242,533.50 : 510,205.69 = 510,205.69 : x
2. Step 2: Convert to fraction form
   242,533.50/510,205.69 = 510,205.69/x
3. Step 3: Cross multiply
   242,533.50x = 510,205.69 × 510,205.69
4. Step 4: Simplify right side
   242,533.50x = 260,309,843,557.35
5. Step 5: Solve for x
   x = 260,309,843,557.35/242,533.50
6. Step 6: Final answer
   x = 1,073,294.38