Finding the Third Proportional to 104,013 and 152,317

Step by Step Solution

1. Step 1: Write the proportion equation
   104,013 : 152,317 = 152,317 : x
2. Step 2: Convert to fraction form
   104,013/152,317 = 152,317/x
3. Step 3: Cross multiply
   104,013x = 152,317 × 152,317
4. Step 4: Simplify right side
   104,013x = 23,200,468,489
5. Step 5: Solve for x
   x = 23,200,468,489/104,013
6. Step 6: Final answer
   x = 223,053.55