Finding the Third Proportional to 111,386 and 172,627

Step by Step Solution

1. Step 1: Write the proportion equation
   111,386 : 172,627 = 172,627 : x
2. Step 2: Convert to fraction form
   111,386/172,627 = 172,627/x
3. Step 3: Cross multiply
   111,386x = 172,627 × 172,627
4. Step 4: Simplify right side
   111,386x = 29,800,081,129
5. Step 5: Solve for x
   x = 29,800,081,129/111,386
6. Step 6: Final answer
   x = 267,538.84