Finding the Third Proportional to 111,970 and 173,364

Step by Step Solution

1. Step 1: Write the proportion equation
   111,970 : 173,364 = 173,364 : x
2. Step 2: Convert to fraction form
   111,970/173,364 = 173,364/x
3. Step 3: Cross multiply
   111,970x = 173,364 × 173,364
4. Step 4: Simplify right side
   111,970x = 30,055,076,496
5. Step 5: Solve for x
   x = 30,055,076,496/111,970
6. Step 6: Final answer
   x = 268,420.80