Finding the Third Proportional to 55,892 and 84,560.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,892 : 84,560.50 = 84,560.50 : x
2. Step 2: Convert to fraction form
   55,892/84,560.50 = 84,560.50/x
3. Step 3: Cross multiply
   55,892x = 84,560.50 × 84,560.50
4. Step 4: Simplify right side
   55,892x = 7,150,478,160.25
5. Step 5: Solve for x
   x = 7,150,478,160.25/55,892
6. Step 6: Final answer
   x = 127,933.84