Finding the Third Proportional to 55,456 and 86,192

Step by Step Solution

1. Step 1: Write the proportion equation
   55,456 : 86,192 = 86,192 : x
2. Step 2: Convert to fraction form
   55,456/86,192 = 86,192/x
3. Step 3: Cross multiply
   55,456x = 86,192 × 86,192
4. Step 4: Simplify right side
   55,456x = 7,429,060,864
5. Step 5: Solve for x
   x = 7,429,060,864/55,456
6. Step 6: Final answer
   x = 133,963.16