Finding the Third Proportional to 112,993 and 175,106

Step by Step Solution

1. Step 1: Write the proportion equation
   112,993 : 175,106 = 175,106 : x
2. Step 2: Convert to fraction form
   112,993/175,106 = 175,106/x
3. Step 3: Cross multiply
   112,993x = 175,106 × 175,106
4. Step 4: Simplify right side
   112,993x = 30,662,111,236
5. Step 5: Solve for x
   x = 30,662,111,236/112,993
6. Step 6: Final answer
   x = 271,362.93