Finding the Third Proportional to 109,110 and 148,112

Step by Step Solution

1. Step 1: Write the proportion equation
   109,110 : 148,112 = 148,112 : x
2. Step 2: Convert to fraction form
   109,110/148,112 = 148,112/x
3. Step 3: Cross multiply
   109,110x = 148,112 × 148,112
4. Step 4: Simplify right side
   109,110x = 21,937,164,544
5. Step 5: Solve for x
   x = 21,937,164,544/109,110
6. Step 6: Final answer
   x = 201,055.49