Finding the Third Proportional to 242,055 and 319,612.50

Step by Step Solution

1. Step 1: Write the proportion equation
   242,055 : 319,612.50 = 319,612.50 : x
2. Step 2: Convert to fraction form
   242,055/319,612.50 = 319,612.50/x
3. Step 3: Cross multiply
   242,055x = 319,612.50 × 319,612.50
4. Step 4: Simplify right side
   242,055x = 102,152,150,156.25
5. Step 5: Solve for x
   x = 102,152,150,156.25/242,055
6. Step 6: Final answer
   x = 422,020.41