Finding the Third Proportional to 109,109 and 164,069

Step by Step Solution

1. Step 1: Write the proportion equation
   109,109 : 164,069 = 164,069 : x
2. Step 2: Convert to fraction form
   109,109/164,069 = 164,069/x
3. Step 3: Cross multiply
   109,109x = 164,069 × 164,069
4. Step 4: Simplify right side
   109,109x = 26,918,636,761
5. Step 5: Solve for x
   x = 26,918,636,761/109,109
6. Step 6: Final answer
   x = 246,713.26