Finding the Third Proportional to 107,844 and 234,511.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,844 : 234,511.50 = 234,511.50 : x
2. Step 2: Convert to fraction form
   107,844/234,511.50 = 234,511.50/x
3. Step 3: Cross multiply
   107,844x = 234,511.50 × 234,511.50
4. Step 4: Simplify right side
   107,844x = 54,995,643,632.25
5. Step 5: Solve for x
   x = 54,995,643,632.25/107,844
6. Step 6: Final answer
   x = 509,955.52