Finding the Third Proportional to 107,696 and 234,975.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,696 : 234,975.50 = 234,975.50 : x
2. Step 2: Convert to fraction form
   107,696/234,975.50 = 234,975.50/x
3. Step 3: Cross multiply
   107,696x = 234,975.50 × 234,975.50
4. Step 4: Simplify right side
   107,696x = 55,213,485,600.25
5. Step 5: Solve for x
   x = 55,213,485,600.25/107,696
6. Step 6: Final answer
   x = 512,679.07