Finding the Third Proportional to 242,076 and 512,947.50

Step by Step Solution

1. Step 1: Write the proportion equation
   242,076 : 512,947.50 = 512,947.50 : x
2. Step 2: Convert to fraction form
   242,076/512,947.50 = 512,947.50/x
3. Step 3: Cross multiply
   242,076x = 512,947.50 × 512,947.50
4. Step 4: Simplify right side
   242,076x = 263,115,137,756.25
5. Step 5: Solve for x
   x = 263,115,137,756.25/242,076
6. Step 6: Final answer
   x = 1,086,911.29