Finding the Third Proportional to 52,640 and 111,194

Step by Step Solution

1. Step 1: Write the proportion equation
   52,640 : 111,194 = 111,194 : x
2. Step 2: Convert to fraction form
   52,640/111,194 = 111,194/x
3. Step 3: Cross multiply
   52,640x = 111,194 × 111,194
4. Step 4: Simplify right side
   52,640x = 12,364,105,636
5. Step 5: Solve for x
   x = 12,364,105,636/52,640
6. Step 6: Final answer
   x = 234,880.43