Finding the Third Proportional to 111,470 and 174,603

Step by Step Solution

1. Step 1: Write the proportion equation
   111,470 : 174,603 = 174,603 : x
2. Step 2: Convert to fraction form
   111,470/174,603 = 174,603/x
3. Step 3: Cross multiply
   111,470x = 174,603 × 174,603
4. Step 4: Simplify right side
   111,470x = 30,486,207,609
5. Step 5: Solve for x
   x = 30,486,207,609/111,470
6. Step 6: Final answer
   x = 273,492.49