Finding the Third Proportional to 107,784 and 234,886.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,784 : 234,886.50 = 234,886.50 : x
2. Step 2: Convert to fraction form
   107,784/234,886.50 = 234,886.50/x
3. Step 3: Cross multiply
   107,784x = 234,886.50 × 234,886.50
4. Step 4: Simplify right side
   107,784x = 55,171,667,882.25
5. Step 5: Solve for x
   x = 55,171,667,882.25/107,784
6. Step 6: Final answer
   x = 511,872.52