Finding the Third Proportional to 91,691 and 193,360

Step by Step Solution

1. Step 1: Write the proportion equation
   91,691 : 193,360 = 193,360 : x
2. Step 2: Convert to fraction form
   91,691/193,360 = 193,360/x
3. Step 3: Cross multiply
   91,691x = 193,360 × 193,360
4. Step 4: Simplify right side
   91,691x = 37,388,089,600
5. Step 5: Solve for x
   x = 37,388,089,600/91,691
6. Step 6: Final answer
   x = 407,761.83