Finding the Third Proportional to 72,646 and 112,253

Step by Step Solution

1. Step 1: Write the proportion equation
   72,646 : 112,253 = 112,253 : x
2. Step 2: Convert to fraction form
   72,646/112,253 = 112,253/x
3. Step 3: Cross multiply
   72,646x = 112,253 × 112,253
4. Step 4: Simplify right side
   72,646x = 12,600,736,009
5. Step 5: Solve for x
   x = 12,600,736,009/72,646
6. Step 6: Final answer
   x = 173,453.95