Finding the Third Proportional to 99,902 and 140,529

Step by Step Solution

1. Step 1: Write the proportion equation
   99,902 : 140,529 = 140,529 : x
2. Step 2: Convert to fraction form
   99,902/140,529 = 140,529/x
3. Step 3: Cross multiply
   99,902x = 140,529 × 140,529
4. Step 4: Simplify right side
   99,902x = 19,748,399,841
5. Step 5: Solve for x
   x = 19,748,399,841/99,902
6. Step 6: Final answer
   x = 197,677.72