Finding the Third Proportional to 118,692 and 158,546

Step by Step Solution

1. Step 1: Write the proportion equation
   118,692 : 158,546 = 158,546 : x
2. Step 2: Convert to fraction form
   118,692/158,546 = 158,546/x
3. Step 3: Cross multiply
   118,692x = 158,546 × 158,546
4. Step 4: Simplify right side
   118,692x = 25,136,834,116
5. Step 5: Solve for x
   x = 25,136,834,116/118,692
6. Step 6: Final answer
   x = 211,782.04