Finding the Third Proportional to 212,790 and 314,977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   212,790 : 314,977.50 = 314,977.50 : x
2. Step 2: Convert to fraction form
   212,790/314,977.50 = 314,977.50/x
3. Step 3: Cross multiply
   212,790x = 314,977.50 × 314,977.50
4. Step 4: Simplify right side
   212,790x = 99,210,825,506.25
5. Step 5: Solve for x
   x = 99,210,825,506.25/212,790
6. Step 6: Final answer
   x = 466,238.19