Finding the Third Proportional to 55,688 and 86,361

Step by Step Solution

1. Step 1: Write the proportion equation
   55,688 : 86,361 = 86,361 : x
2. Step 2: Convert to fraction form
   55,688/86,361 = 86,361/x
3. Step 3: Cross multiply
   55,688x = 86,361 × 86,361
4. Step 4: Simplify right side
   55,688x = 7,458,222,321
5. Step 5: Solve for x
   x = 7,458,222,321/55,688
6. Step 6: Final answer
   x = 133,928.72