Finding the Third Proportional to 51,066 and 109,146

Step by Step Solution

1. Step 1: Write the proportion equation
   51,066 : 109,146 = 109,146 : x
2. Step 2: Convert to fraction form
   51,066/109,146 = 109,146/x
3. Step 3: Cross multiply
   51,066x = 109,146 × 109,146
4. Step 4: Simplify right side
   51,066x = 11,912,849,316
5. Step 5: Solve for x
   x = 11,912,849,316/51,066
6. Step 6: Final answer
   x = 233,283.38