Finding the Third Proportional to 91,064 and 185,742

Step by Step Solution

1. Step 1: Write the proportion equation
   91,064 : 185,742 = 185,742 : x
2. Step 2: Convert to fraction form
   91,064/185,742 = 185,742/x
3. Step 3: Cross multiply
   91,064x = 185,742 × 185,742
4. Step 4: Simplify right side
   91,064x = 34,500,090,564
5. Step 5: Solve for x
   x = 34,500,090,564/91,064
6. Step 6: Final answer
   x = 378,855.43