Finding the Third Proportional to 54,093 and 83,196

Step by Step Solution

1. Step 1: Write the proportion equation
   54,093 : 83,196 = 83,196 : x
2. Step 2: Convert to fraction form
   54,093/83,196 = 83,196/x
3. Step 3: Cross multiply
   54,093x = 83,196 × 83,196
4. Step 4: Simplify right side
   54,093x = 6,921,574,416
5. Step 5: Solve for x
   x = 6,921,574,416/54,093
6. Step 6: Final answer
   x = 127,956.93