Finding the Third Proportional to 83,817 and 113,898

Step by Step Solution

1. Step 1: Write the proportion equation
   83,817 : 113,898 = 113,898 : x
2. Step 2: Convert to fraction form
   83,817/113,898 = 113,898/x
3. Step 3: Cross multiply
   83,817x = 113,898 × 113,898
4. Step 4: Simplify right side
   83,817x = 12,972,754,404
5. Step 5: Solve for x
   x = 12,972,754,404/83,817
6. Step 6: Final answer
   x = 154,774.74