Finding the Third Proportional to 102,564 and 215,493.75

Step by Step Solution

1. Step 1: Write the proportion equation
   102,564 : 215,493.75 = 215,493.75 : x
2. Step 2: Convert to fraction form
   102,564/215,493.75 = 215,493.75/x
3. Step 3: Cross multiply
   102,564x = 215,493.75 × 215,493.75
4. Step 4: Simplify right side
   102,564x = 46,437,556,289.06
5. Step 5: Solve for x
   x = 46,437,556,289.06/102,564
6. Step 6: Final answer
   x = 452,766.63