Finding the Third Proportional to 51,090 and 109,164

Step by Step Solution

1. Step 1: Write the proportion equation
   51,090 : 109,164 = 109,164 : x
2. Step 2: Convert to fraction form
   51,090/109,164 = 109,164/x
3. Step 3: Cross multiply
   51,090x = 109,164 × 109,164
4. Step 4: Simplify right side
   51,090x = 11,916,778,896
5. Step 5: Solve for x
   x = 11,916,778,896/51,090
6. Step 6: Final answer
   x = 233,250.71