Finding the Third Proportional to 70,384 and 105,446

Step by Step Solution

1. Step 1: Write the proportion equation
   70,384 : 105,446 = 105,446 : x
2. Step 2: Convert to fraction form
   70,384/105,446 = 105,446/x
3. Step 3: Cross multiply
   70,384x = 105,446 × 105,446
4. Step 4: Simplify right side
   70,384x = 11,118,858,916
5. Step 5: Solve for x
   x = 11,118,858,916/70,384
6. Step 6: Final answer
   x = 157,974.24