Finding the Third Proportional to 107,762 and 234,406

Step by Step Solution

1. Step 1: Write the proportion equation
   107,762 : 234,406 = 234,406 : x
2. Step 2: Convert to fraction form
   107,762/234,406 = 234,406/x
3. Step 3: Cross multiply
   107,762x = 234,406 × 234,406
4. Step 4: Simplify right side
   107,762x = 54,946,172,836
5. Step 5: Solve for x
   x = 54,946,172,836/107,762
6. Step 6: Final answer
   x = 509,884.49