Finding the Third Proportional to 59,380 and 111,368

Step by Step Solution

1. Step 1: Write the proportion equation
   59,380 : 111,368 = 111,368 : x
2. Step 2: Convert to fraction form
   59,380/111,368 = 111,368/x
3. Step 3: Cross multiply
   59,380x = 111,368 × 111,368
4. Step 4: Simplify right side
   59,380x = 12,402,831,424
5. Step 5: Solve for x
   x = 12,402,831,424/59,380
6. Step 6: Final answer
   x = 208,872.20