Finding the Third Proportional to 109,136 and 164,109

Step by Step Solution

1. Step 1: Write the proportion equation
   109,136 : 164,109 = 164,109 : x
2. Step 2: Convert to fraction form
   109,136/164,109 = 164,109/x
3. Step 3: Cross multiply
   109,136x = 164,109 × 164,109
4. Step 4: Simplify right side
   109,136x = 26,931,763,881
5. Step 5: Solve for x
   x = 26,931,763,881/109,136
6. Step 6: Final answer
   x = 246,772.50