Finding the Third Proportional to 85,629 and 113,619.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,629 : 113,619.50 = 113,619.50 : x
2. Step 2: Convert to fraction form
   85,629/113,619.50 = 113,619.50/x
3. Step 3: Cross multiply
   85,629x = 113,619.50 × 113,619.50
4. Step 4: Simplify right side
   85,629x = 12,909,390,780.25
5. Step 5: Solve for x
   x = 12,909,390,780.25/85,629
6. Step 6: Final answer
   x = 150,759.56