Finding the Third Proportional to 85,845 and 114,619.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,845 : 114,619.50 = 114,619.50 : x
2. Step 2: Convert to fraction form
   85,845/114,619.50 = 114,619.50/x
3. Step 3: Cross multiply
   85,845x = 114,619.50 × 114,619.50
4. Step 4: Simplify right side
   85,845x = 13,137,629,780.25
5. Step 5: Solve for x
   x = 13,137,629,780.25/85,845
6. Step 6: Final answer
   x = 153,038.96