Finding the Third Proportional to 242,814 and 380,059.50

Step by Step Solution

1. Step 1: Write the proportion equation
   242,814 : 380,059.50 = 380,059.50 : x
2. Step 2: Convert to fraction form
   242,814/380,059.50 = 380,059.50/x
3. Step 3: Cross multiply
   242,814x = 380,059.50 × 380,059.50
4. Step 4: Simplify right side
   242,814x = 144,445,223,540.25
5. Step 5: Solve for x
   x = 144,445,223,540.25/242,814
6. Step 6: Final answer
   x = 594,880.13