Finding the Third Proportional to 117,896 and 173,364

Step by Step Solution

1. Step 1: Write the proportion equation
   117,896 : 173,364 = 173,364 : x
2. Step 2: Convert to fraction form
   117,896/173,364 = 173,364/x
3. Step 3: Cross multiply
   117,896x = 173,364 × 173,364
4. Step 4: Simplify right side
   117,896x = 30,055,076,496
5. Step 5: Solve for x
   x = 30,055,076,496/117,896
6. Step 6: Final answer
   x = 254,928.72