Finding the Third Proportional to 71,859 and 108,786

Step by Step Solution

1. Step 1: Write the proportion equation
   71,859 : 108,786 = 108,786 : x
2. Step 2: Convert to fraction form
   71,859/108,786 = 108,786/x
3. Step 3: Cross multiply
   71,859x = 108,786 × 108,786
4. Step 4: Simplify right side
   71,859x = 11,834,393,796
5. Step 5: Solve for x
   x = 11,834,393,796/71,859
6. Step 6: Final answer
   x = 164,689.10