Finding the Third Proportional to 90,462 and 196,986

Step by Step Solution

1. Step 1: Write the proportion equation
   90,462 : 196,986 = 196,986 : x
2. Step 2: Convert to fraction form
   90,462/196,986 = 196,986/x
3. Step 3: Cross multiply
   90,462x = 196,986 × 196,986
4. Step 4: Simplify right side
   90,462x = 38,803,484,196
5. Step 5: Solve for x
   x = 38,803,484,196/90,462
6. Step 6: Final answer
   x = 428,947.89