Finding the Third Proportional to 233,784 and 341,928

Step by Step Solution

1. Step 1: Write the proportion equation
   233,784 : 341,928 = 341,928 : x
2. Step 2: Convert to fraction form
   233,784/341,928 = 341,928/x
3. Step 3: Cross multiply
   233,784x = 341,928 × 341,928
4. Step 4: Simplify right side
   233,784x = 116,914,757,184
5. Step 5: Solve for x
   x = 116,914,757,184/233,784
6. Step 6: Final answer
   x = 500,097.34