Finding the Third Proportional to 56,838 and 86,049

Step by Step Solution

1. Step 1: Write the proportion equation
   56,838 : 86,049 = 86,049 : x
2. Step 2: Convert to fraction form
   56,838/86,049 = 86,049/x
3. Step 3: Cross multiply
   56,838x = 86,049 × 86,049
4. Step 4: Simplify right side
   56,838x = 7,404,430,401
5. Step 5: Solve for x
   x = 7,404,430,401/56,838
6. Step 6: Final answer
   x = 130,272.54