Finding the Third Proportional to 103,624 and 185,926

Step by Step Solution

1. Step 1: Write the proportion equation
   103,624 : 185,926 = 185,926 : x
2. Step 2: Convert to fraction form
   103,624/185,926 = 185,926/x
3. Step 3: Cross multiply
   103,624x = 185,926 × 185,926
4. Step 4: Simplify right side
   103,624x = 34,568,477,476
5. Step 5: Solve for x
   x = 34,568,477,476/103,624
6. Step 6: Final answer
   x = 333,595.28