Finding the Third Proportional to 83,813 and 113,893

Step by Step Solution

1. Step 1: Write the proportion equation
   83,813 : 113,893 = 113,893 : x
2. Step 2: Convert to fraction form
   83,813/113,893 = 113,893/x
3. Step 3: Cross multiply
   83,813x = 113,893 × 113,893
4. Step 4: Simplify right side
   83,813x = 12,971,615,449
5. Step 5: Solve for x
   x = 12,971,615,449/83,813
6. Step 6: Final answer
   x = 154,768.54