Finding the Third Proportional to 206,478 and 312,574.50

Step by Step Solution

1. Step 1: Write the proportion equation
   206,478 : 312,574.50 = 312,574.50 : x
2. Step 2: Convert to fraction form
   206,478/312,574.50 = 312,574.50/x
3. Step 3: Cross multiply
   206,478x = 312,574.50 × 312,574.50
4. Step 4: Simplify right side
   206,478x = 97,702,818,050.25
5. Step 5: Solve for x
   x = 97,702,818,050.25/206,478
6. Step 6: Final answer
   x = 473,187.55