Finding the Third Proportional to 155,911 and 172,314

Step by Step Solution

1. Step 1: Write the proportion equation
   155,911 : 172,314 = 172,314 : x
2. Step 2: Convert to fraction form
   155,911/172,314 = 172,314/x
3. Step 3: Cross multiply
   155,911x = 172,314 × 172,314
4. Step 4: Simplify right side
   155,911x = 29,692,114,596
5. Step 5: Solve for x
   x = 29,692,114,596/155,911
6. Step 6: Final answer
   x = 190,442.72