Finding the Third Proportional to 109,696.50 and 237,384

Step by Step Solution

1. Step 1: Write the proportion equation
   109,696.50 : 237,384 = 237,384 : x
2. Step 2: Convert to fraction form
   109,696.50/237,384 = 237,384/x
3. Step 3: Cross multiply
   109,696.50x = 237,384 × 237,384
4. Step 4: Simplify right side
   109,696.50x = 56,351,163,456
5. Step 5: Solve for x
   x = 56,351,163,456/109,696.50
6. Step 6: Final answer
   x = 513,700.65