Finding the Third Proportional to 72,186 and 112,206

Step by Step Solution

1. Step 1: Write the proportion equation
   72,186 : 112,206 = 112,206 : x
2. Step 2: Convert to fraction form
   72,186/112,206 = 112,206/x
3. Step 3: Cross multiply
   72,186x = 112,206 × 112,206
4. Step 4: Simplify right side
   72,186x = 12,590,186,436
5. Step 5: Solve for x
   x = 12,590,186,436/72,186
6. Step 6: Final answer
   x = 174,413.13