Finding the Third Proportional to 91,293 and 185,097

Step by Step Solution

1. Step 1: Write the proportion equation
   91,293 : 185,097 = 185,097 : x
2. Step 2: Convert to fraction form
   91,293/185,097 = 185,097/x
3. Step 3: Cross multiply
   91,293x = 185,097 × 185,097
4. Step 4: Simplify right side
   91,293x = 34,260,899,409
5. Step 5: Solve for x
   x = 34,260,899,409/91,293
6. Step 6: Final answer
   x = 375,285.06