Finding the Third Proportional to 70,194 and 111,582

Step by Step Solution

1. Step 1: Write the proportion equation
   70,194 : 111,582 = 111,582 : x
2. Step 2: Convert to fraction form
   70,194/111,582 = 111,582/x
3. Step 3: Cross multiply
   70,194x = 111,582 × 111,582
4. Step 4: Simplify right side
   70,194x = 12,450,542,724
5. Step 5: Solve for x
   x = 12,450,542,724/70,194
6. Step 6: Final answer
   x = 177,373.32