Finding the Third Proportional to 111,346 and 172,429

Step by Step Solution

1. Step 1: Write the proportion equation
   111,346 : 172,429 = 172,429 : x
2. Step 2: Convert to fraction form
   111,346/172,429 = 172,429/x
3. Step 3: Cross multiply
   111,346x = 172,429 × 172,429
4. Step 4: Simplify right side
   111,346x = 29,731,760,041
5. Step 5: Solve for x
   x = 29,731,760,041/111,346
6. Step 6: Final answer
   x = 267,021.36