Finding the Third Proportional to 98,166 and 144,114

Step by Step Solution

1. Step 1: Write the proportion equation
   98,166 : 144,114 = 144,114 : x
2. Step 2: Convert to fraction form
   98,166/144,114 = 144,114/x
3. Step 3: Cross multiply
   98,166x = 144,114 × 144,114
4. Step 4: Simplify right side
   98,166x = 20,768,844,996
5. Step 5: Solve for x
   x = 20,768,844,996/98,166
6. Step 6: Final answer
   x = 211,568.62