Finding the Third Proportional to 209,056 and 314,055

Step by Step Solution

1. Step 1: Write the proportion equation
   209,056 : 314,055 = 314,055 : x
2. Step 2: Convert to fraction form
   209,056/314,055 = 314,055/x
3. Step 3: Cross multiply
   209,056x = 314,055 × 314,055
4. Step 4: Simplify right side
   209,056x = 98,630,543,025
5. Step 5: Solve for x
   x = 98,630,543,025/209,056
6. Step 6: Final answer
   x = 471,790.06