Finding the Third Proportional to 112,321 and 164,089

Step by Step Solution

1. Step 1: Write the proportion equation
   112,321 : 164,089 = 164,089 : x
2. Step 2: Convert to fraction form
   112,321/164,089 = 164,089/x
3. Step 3: Cross multiply
   112,321x = 164,089 × 164,089
4. Step 4: Simplify right side
   112,321x = 26,925,199,921
5. Step 5: Solve for x
   x = 26,925,199,921/112,321
6. Step 6: Final answer
   x = 239,716.53