Finding the Third Proportional to 71,809 and 109,658

Step by Step Solution

1. Step 1: Write the proportion equation
   71,809 : 109,658 = 109,658 : x
2. Step 2: Convert to fraction form
   71,809/109,658 = 109,658/x
3. Step 3: Cross multiply
   71,809x = 109,658 × 109,658
4. Step 4: Simplify right side
   71,809x = 12,024,876,964
5. Step 5: Solve for x
   x = 12,024,876,964/71,809
6. Step 6: Final answer
   x = 167,456.40