Finding the Third Proportional to 90,317 and 193,088

Step by Step Solution

1. Step 1: Write the proportion equation
   90,317 : 193,088 = 193,088 : x
2. Step 2: Convert to fraction form
   90,317/193,088 = 193,088/x
3. Step 3: Cross multiply
   90,317x = 193,088 × 193,088
4. Step 4: Simplify right side
   90,317x = 37,282,975,744
5. Step 5: Solve for x
   x = 37,282,975,744/90,317
6. Step 6: Final answer
   x = 412,801.31