Finding the Third Proportional to 91,574 and 193,152

Step by Step Solution

1. Step 1: Write the proportion equation
   91,574 : 193,152 = 193,152 : x
2. Step 2: Convert to fraction form
   91,574/193,152 = 193,152/x
3. Step 3: Cross multiply
   91,574x = 193,152 × 193,152
4. Step 4: Simplify right side
   91,574x = 37,307,695,104
5. Step 5: Solve for x
   x = 37,307,695,104/91,574
6. Step 6: Final answer
   x = 407,404.89