Finding the Third Proportional to 91,805 and 194,632

Step by Step Solution

1. Step 1: Write the proportion equation
   91,805 : 194,632 = 194,632 : x
2. Step 2: Convert to fraction form
   91,805/194,632 = 194,632/x
3. Step 3: Cross multiply
   91,805x = 194,632 × 194,632
4. Step 4: Simplify right side
   91,805x = 37,881,615,424
5. Step 5: Solve for x
   x = 37,881,615,424/91,805
6. Step 6: Final answer
   x = 412,631.29