Finding the Third Proportional to 107,106 and 143,091

Step by Step Solution

1. Step 1: Write the proportion equation
   107,106 : 143,091 = 143,091 : x
2. Step 2: Convert to fraction form
   107,106/143,091 = 143,091/x
3. Step 3: Cross multiply
   107,106x = 143,091 × 143,091
4. Step 4: Simplify right side
   107,106x = 20,475,034,281
5. Step 5: Solve for x
   x = 20,475,034,281/107,106
6. Step 6: Final answer
   x = 191,166.08