Finding the Third Proportional to 215,713.50 and 470,362.50

Step by Step Solution

1. Step 1: Write the proportion equation
   215,713.50 : 470,362.50 = 470,362.50 : x
2. Step 2: Convert to fraction form
   215,713.50/470,362.50 = 470,362.50/x
3. Step 3: Cross multiply
   215,713.50x = 470,362.50 × 470,362.50
4. Step 4: Simplify right side
   215,713.50x = 221,240,881,406.25
5. Step 5: Solve for x
   x = 221,240,881,406.25/215,713.50
6. Step 6: Final answer
   x = 1,025,623.72