Finding the Third Proportional to 101,432 and 205,936

Step by Step Solution

1. Step 1: Write the proportion equation
   101,432 : 205,936 = 205,936 : x
2. Step 2: Convert to fraction form
   101,432/205,936 = 205,936/x
3. Step 3: Cross multiply
   101,432x = 205,936 × 205,936
4. Step 4: Simplify right side
   101,432x = 42,409,636,096
5. Step 5: Solve for x
   x = 42,409,636,096/101,432
6. Step 6: Final answer
   x = 418,109.04