Finding the Third Proportional to 209,074 and 314,082

Step by Step Solution

1. Step 1: Write the proportion equation
   209,074 : 314,082 = 314,082 : x
2. Step 2: Convert to fraction form
   209,074/314,082 = 314,082/x
3. Step 3: Cross multiply
   209,074x = 314,082 × 314,082
4. Step 4: Simplify right side
   209,074x = 98,647,502,724
5. Step 5: Solve for x
   x = 98,647,502,724/209,074
6. Step 6: Final answer
   x = 471,830.56