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

Step by Step Solution

1. Step 1: Write the proportion equation
   109,109 : 148,110 = 148,110 : x
2. Step 2: Convert to fraction form
   109,109/148,110 = 148,110/x
3. Step 3: Cross multiply
   109,109x = 148,110 × 148,110
4. Step 4: Simplify right side
   109,109x = 21,936,572,100
5. Step 5: Solve for x
   x = 21,936,572,100/109,109
6. Step 6: Final answer
   x = 201,051.90