Finding the Third Proportional to 150,216 and 233,946

Step by Step Solution

1. Step 1: Write the proportion equation
   150,216 : 233,946 = 233,946 : x
2. Step 2: Convert to fraction form
   150,216/233,946 = 233,946/x
3. Step 3: Cross multiply
   150,216x = 233,946 × 233,946
4. Step 4: Simplify right side
   150,216x = 54,730,730,916
5. Step 5: Solve for x
   x = 54,730,730,916/150,216
6. Step 6: Final answer
   x = 364,346.88