Finding the Third Proportional to 155,664 and 233,497.50

Step by Step Solution

1. Step 1: Write the proportion equation
   155,664 : 233,497.50 = 233,497.50 : x
2. Step 2: Convert to fraction form
   155,664/233,497.50 = 233,497.50/x
3. Step 3: Cross multiply
   155,664x = 233,497.50 × 233,497.50
4. Step 4: Simplify right side
   155,664x = 54,521,082,506.25
5. Step 5: Solve for x
   x = 54,521,082,506.25/155,664
6. Step 6: Final answer
   x = 350,248.50