Finding the Third Proportional to 233,289 and 341,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,289 : 341,185.50 = 341,185.50 : x
2. Step 2: Convert to fraction form
   233,289/341,185.50 = 341,185.50/x
3. Step 3: Cross multiply
   233,289x = 341,185.50 × 341,185.50
4. Step 4: Simplify right side
   233,289x = 116,407,545,410.25
5. Step 5: Solve for x
   x = 116,407,545,410.25/233,289
6. Step 6: Final answer
   x = 498,984.29