Finding the Third Proportional to 99,996.19 and 185,806.69

Step by Step Solution

1. Step 1: Write the proportion equation
   99,996.19 : 185,806.69 = 185,806.69 : x
2. Step 2: Convert to fraction form
   99,996.19/185,806.69 = 185,806.69/x
3. Step 3: Cross multiply
   99,996.19x = 185,806.69 × 185,806.69
4. Step 4: Simplify right side
   99,996.19x = 34,524,125,119.72
5. Step 5: Solve for x
   x = 34,524,125,119.72/99,996.19
6. Step 6: Final answer
   x = 345,254.41