Finding the Third Proportional to 353,025 and 538,774.50

Step by Step Solution

1. Step 1: Write the proportion equation
   353,025 : 538,774.50 = 538,774.50 : x
2. Step 2: Convert to fraction form
   353,025/538,774.50 = 538,774.50/x
3. Step 3: Cross multiply
   353,025x = 538,774.50 × 538,774.50
4. Step 4: Simplify right side
   353,025x = 290,277,961,850.25
5. Step 5: Solve for x
   x = 290,277,961,850.25/353,025
6. Step 6: Final answer
   x = 822,258.94