Finding the Third Proportional to 90,869 and 186,830

Step by Step Solution

1. Step 1: Write the proportion equation
   90,869 : 186,830 = 186,830 : x
2. Step 2: Convert to fraction form
   90,869/186,830 = 186,830/x
3. Step 3: Cross multiply
   90,869x = 186,830 × 186,830
4. Step 4: Simplify right side
   90,869x = 34,905,448,900
5. Step 5: Solve for x
   x = 34,905,448,900/90,869
6. Step 6: Final answer
   x = 384,129.34