Finding the Third Proportional to 111,500 and 238,264

Step by Step Solution

1. Step 1: Write the proportion equation
   111,500 : 238,264 = 238,264 : x
2. Step 2: Convert to fraction form
   111,500/238,264 = 238,264/x
3. Step 3: Cross multiply
   111,500x = 238,264 × 238,264
4. Step 4: Simplify right side
   111,500x = 56,769,733,696
5. Step 5: Solve for x
   x = 56,769,733,696/111,500
6. Step 6: Final answer
   x = 509,145.59