Finding the Third Proportional to 91,741 and 186,063

Step by Step Solution

1. Step 1: Write the proportion equation
   91,741 : 186,063 = 186,063 : x
2. Step 2: Convert to fraction form
   91,741/186,063 = 186,063/x
3. Step 3: Cross multiply
   91,741x = 186,063 × 186,063
4. Step 4: Simplify right side
   91,741x = 34,619,439,969
5. Step 5: Solve for x
   x = 34,619,439,969/91,741
6. Step 6: Final answer
   x = 377,360.61