Finding the Third Proportional to 159,746 and 175,106

Step by Step Solution

1. Step 1: Write the proportion equation
   159,746 : 175,106 = 175,106 : x
2. Step 2: Convert to fraction form
   159,746/175,106 = 175,106/x
3. Step 3: Cross multiply
   159,746x = 175,106 × 175,106
4. Step 4: Simplify right side
   159,746x = 30,662,111,236
5. Step 5: Solve for x
   x = 30,662,111,236/159,746
6. Step 6: Final answer
   x = 191,942.90