Finding the Third Proportional to 107,432 and 231,946

Step by Step Solution

1. Step 1: Write the proportion equation
   107,432 : 231,946 = 231,946 : x
2. Step 2: Convert to fraction form
   107,432/231,946 = 231,946/x
3. Step 3: Cross multiply
   107,432x = 231,946 × 231,946
4. Step 4: Simplify right side
   107,432x = 53,798,946,916
5. Step 5: Solve for x
   x = 53,798,946,916/107,432
6. Step 6: Final answer
   x = 500,772.09