Finding the Third Proportional to 242,766 and 538,582.50

Step by Step Solution

1. Step 1: Write the proportion equation
   242,766 : 538,582.50 = 538,582.50 : x
2. Step 2: Convert to fraction form
   242,766/538,582.50 = 538,582.50/x
3. Step 3: Cross multiply
   242,766x = 538,582.50 × 538,582.50
4. Step 4: Simplify right side
   242,766x = 290,071,109,306.25
5. Step 5: Solve for x
   x = 290,071,109,306.25/242,766
6. Step 6: Final answer
   x = 1,194,858.87