Finding the Third Proportional to 83,823 and 113,908.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,823 : 113,908.50 = 113,908.50 : x
2. Step 2: Convert to fraction form
   83,823/113,908.50 = 113,908.50/x
3. Step 3: Cross multiply
   83,823x = 113,908.50 × 113,908.50
4. Step 4: Simplify right side
   83,823x = 12,975,146,372.25
5. Step 5: Solve for x
   x = 12,975,146,372.25/83,823
6. Step 6: Final answer
   x = 154,792.20