Finding the Third Proportional to 415,530 and 564,063.75

Step by Step Solution

1. Step 1: Write the proportion equation
   415,530 : 564,063.75 = 564,063.75 : x
2. Step 2: Convert to fraction form
   415,530/564,063.75 = 564,063.75/x
3. Step 3: Cross multiply
   415,530x = 564,063.75 × 564,063.75
4. Step 4: Simplify right side
   415,530x = 318,167,914,064.06
5. Step 5: Solve for x
   x = 318,167,914,064.06/415,530
6. Step 6: Final answer
   x = 765,691.80