Finding the Third Proportional to 285,900 and 401,632.50

Step by Step Solution

1. Step 1: Write the proportion equation
   285,900 : 401,632.50 = 401,632.50 : x
2. Step 2: Convert to fraction form
   285,900/401,632.50 = 401,632.50/x
3. Step 3: Cross multiply
   285,900x = 401,632.50 × 401,632.50
4. Step 4: Simplify right side
   285,900x = 161,308,665,056.25
5. Step 5: Solve for x
   x = 161,308,665,056.25/285,900
6. Step 6: Final answer
   x = 564,213.59