Finding the Third Proportional to 107,144 and 233,336.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,144 : 233,336.50 = 233,336.50 : x
2. Step 2: Convert to fraction form
   107,144/233,336.50 = 233,336.50/x
3. Step 3: Cross multiply
   107,144x = 233,336.50 × 233,336.50
4. Step 4: Simplify right side
   107,144x = 54,445,922,232.25
5. Step 5: Solve for x
   x = 54,445,922,232.25/107,144
6. Step 6: Final answer
   x = 508,156.52