Finding the Third Proportional to 69,096 and 104,364

Step by Step Solution

1. Step 1: Write the proportion equation
   69,096 : 104,364 = 104,364 : x
2. Step 2: Convert to fraction form
   69,096/104,364 = 104,364/x
3. Step 3: Cross multiply
   69,096x = 104,364 × 104,364
4. Step 4: Simplify right side
   69,096x = 10,891,844,496
5. Step 5: Solve for x
   x = 10,891,844,496/69,096
6. Step 6: Final answer
   x = 157,633.50