Finding the Third Proportional to 91,051 and 193,401

Step by Step Solution

1. Step 1: Write the proportion equation
   91,051 : 193,401 = 193,401 : x
2. Step 2: Convert to fraction form
   91,051/193,401 = 193,401/x
3. Step 3: Cross multiply
   91,051x = 193,401 × 193,401
4. Step 4: Simplify right side
   91,051x = 37,403,946,801
5. Step 5: Solve for x
   x = 37,403,946,801/91,051
6. Step 6: Final answer
   x = 410,802.15