Finding the Third Proportional to 107,205 and 235,429.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,205 : 235,429.50 = 235,429.50 : x
2. Step 2: Convert to fraction form
   107,205/235,429.50 = 235,429.50/x
3. Step 3: Cross multiply
   107,205x = 235,429.50 × 235,429.50
4. Step 4: Simplify right side
   107,205x = 55,427,049,470.25
5. Step 5: Solve for x
   x = 55,427,049,470.25/107,205
6. Step 6: Final answer
   x = 517,019.26