Finding the Third Proportional to 51,946 and 111,091

Step by Step Solution

1. Step 1: Write the proportion equation
   51,946 : 111,091 = 111,091 : x
2. Step 2: Convert to fraction form
   51,946/111,091 = 111,091/x
3. Step 3: Cross multiply
   51,946x = 111,091 × 111,091
4. Step 4: Simplify right side
   51,946x = 12,341,210,281
5. Step 5: Solve for x
   x = 12,341,210,281/51,946
6. Step 6: Final answer
   x = 237,577.68