Finding the Third Proportional to 212,746.50 and 314,919

Step by Step Solution

1. Step 1: Write the proportion equation
   212,746.50 : 314,919 = 314,919 : x
2. Step 2: Convert to fraction form
   212,746.50/314,919 = 314,919/x
3. Step 3: Cross multiply
   212,746.50x = 314,919 × 314,919
4. Step 4: Simplify right side
   212,746.50x = 99,173,976,561
5. Step 5: Solve for x
   x = 99,173,976,561/212,746.50
6. Step 6: Final answer
   x = 466,160.32