Finding the Third Proportional to 56,456 and 89,320

Step by Step Solution

1. Step 1: Write the proportion equation
   56,456 : 89,320 = 89,320 : x
2. Step 2: Convert to fraction form
   56,456/89,320 = 89,320/x
3. Step 3: Cross multiply
   56,456x = 89,320 × 89,320
4. Step 4: Simplify right side
   56,456x = 7,978,062,400
5. Step 5: Solve for x
   x = 7,978,062,400/56,456
6. Step 6: Final answer
   x = 141,314.69