Finding the Third Proportional to 212,742 and 314,912.25

Step by Step Solution

1. Step 1: Write the proportion equation
   212,742 : 314,912.25 = 314,912.25 : x
2. Step 2: Convert to fraction form
   212,742/314,912.25 = 314,912.25/x
3. Step 3: Cross multiply
   212,742x = 314,912.25 × 314,912.25
4. Step 4: Simplify right side
   212,742x = 99,169,725,200.06
5. Step 5: Solve for x
   x = 99,169,725,200.06/212,742
6. Step 6: Final answer
   x = 466,150.20