Finding the Third Proportional to 81,427.50 and 116,226

Step by Step Solution

1. Step 1: Write the proportion equation
   81,427.50 : 116,226 = 116,226 : x
2. Step 2: Convert to fraction form
   81,427.50/116,226 = 116,226/x
3. Step 3: Cross multiply
   81,427.50x = 116,226 × 116,226
4. Step 4: Simplify right side
   81,427.50x = 13,508,483,076
5. Step 5: Solve for x
   x = 13,508,483,076/81,427.50
6. Step 6: Final answer
   x = 165,895.83