Finding the Third Proportional to 90,813 and 191,538

Step by Step Solution

1. Step 1: Write the proportion equation
   90,813 : 191,538 = 191,538 : x
2. Step 2: Convert to fraction form
   90,813/191,538 = 191,538/x
3. Step 3: Cross multiply
   90,813x = 191,538 × 191,538
4. Step 4: Simplify right side
   90,813x = 36,686,805,444
5. Step 5: Solve for x
   x = 36,686,805,444/90,813
6. Step 6: Final answer
   x = 403,981.87