Finding the Third Proportional to 112,832 and 174,141

Step by Step Solution

1. Step 1: Write the proportion equation
   112,832 : 174,141 = 174,141 : x
2. Step 2: Convert to fraction form
   112,832/174,141 = 174,141/x
3. Step 3: Cross multiply
   112,832x = 174,141 × 174,141
4. Step 4: Simplify right side
   112,832x = 30,325,087,881
5. Step 5: Solve for x
   x = 30,325,087,881/112,832
6. Step 6: Final answer
   x = 268,763.19