Finding the Third Proportional to 104,100 and 156,864

Step by Step Solution

1. Step 1: Write the proportion equation
   104,100 : 156,864 = 156,864 : x
2. Step 2: Convert to fraction form
   104,100/156,864 = 156,864/x
3. Step 3: Cross multiply
   104,100x = 156,864 × 156,864
4. Step 4: Simplify right side
   104,100x = 24,606,314,496
5. Step 5: Solve for x
   x = 24,606,314,496/104,100
6. Step 6: Final answer
   x = 236,371.90