Finding the Third Proportional to 72,186 and 108,594

Step by Step Solution

1. Step 1: Write the proportion equation
   72,186 : 108,594 = 108,594 : x
2. Step 2: Convert to fraction form
   72,186/108,594 = 108,594/x
3. Step 3: Cross multiply
   72,186x = 108,594 × 108,594
4. Step 4: Simplify right side
   72,186x = 11,792,656,836
5. Step 5: Solve for x
   x = 11,792,656,836/72,186
6. Step 6: Final answer
   x = 163,364.87