Finding the Third Proportional to 81,117 and 113,899.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,117 : 113,899.50 = 113,899.50 : x
2. Step 2: Convert to fraction form
   81,117/113,899.50 = 113,899.50/x
3. Step 3: Cross multiply
   81,117x = 113,899.50 × 113,899.50
4. Step 4: Simplify right side
   81,117x = 12,973,096,100.25
5. Step 5: Solve for x
   x = 12,973,096,100.25/81,117
6. Step 6: Final answer
   x = 159,930.67