Finding the Third Proportional to 56,866 and 117,380

Step by Step Solution

1. Step 1: Write the proportion equation
   56,866 : 117,380 = 117,380 : x
2. Step 2: Convert to fraction form
   56,866/117,380 = 117,380/x
3. Step 3: Cross multiply
   56,866x = 117,380 × 117,380
4. Step 4: Simplify right side
   56,866x = 13,778,064,400
5. Step 5: Solve for x
   x = 13,778,064,400/56,866
6. Step 6: Final answer
   x = 242,290.02