Finding the Third Proportional to 90,590 and 196,786

Step by Step Solution

1. Step 1: Write the proportion equation
   90,590 : 196,786 = 196,786 : x
2. Step 2: Convert to fraction form
   90,590/196,786 = 196,786/x
3. Step 3: Cross multiply
   90,590x = 196,786 × 196,786
4. Step 4: Simplify right side
   90,590x = 38,724,729,796
5. Step 5: Solve for x
   x = 38,724,729,796/90,590
6. Step 6: Final answer
   x = 427,472.46