Finding the Third Proportional to 55,238 and 86,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,238 : 86,411.50 = 86,411.50 : x
2. Step 2: Convert to fraction form
   55,238/86,411.50 = 86,411.50/x
3. Step 3: Cross multiply
   55,238x = 86,411.50 × 86,411.50
4. Step 4: Simplify right side
   55,238x = 7,466,947,332.25
5. Step 5: Solve for x
   x = 7,466,947,332.25/55,238
6. Step 6: Final answer
   x = 135,177.73