Finding the Third Proportional to 56,920 and 91,456

Step by Step Solution

1. Step 1: Write the proportion equation
   56,920 : 91,456 = 91,456 : x
2. Step 2: Convert to fraction form
   56,920/91,456 = 91,456/x
3. Step 3: Cross multiply
   56,920x = 91,456 × 91,456
4. Step 4: Simplify right side
   56,920x = 8,364,199,936
5. Step 5: Solve for x
   x = 8,364,199,936/56,920
6. Step 6: Final answer
   x = 146,946.59