Finding the Third Proportional to 55,636 and 88,455

Step by Step Solution

1. Step 1: Write the proportion equation
   55,636 : 88,455 = 88,455 : x
2. Step 2: Convert to fraction form
   55,636/88,455 = 88,455/x
3. Step 3: Cross multiply
   55,636x = 88,455 × 88,455
4. Step 4: Simplify right side
   55,636x = 7,824,287,025
5. Step 5: Solve for x
   x = 7,824,287,025/55,636
6. Step 6: Final answer
   x = 140,633.53