Finding the Third Proportional to 188,415 and 409,552.50

Step by Step Solution

1. Step 1: Write the proportion equation
   188,415 : 409,552.50 = 409,552.50 : x
2. Step 2: Convert to fraction form
   188,415/409,552.50 = 409,552.50/x
3. Step 3: Cross multiply
   188,415x = 409,552.50 × 409,552.50
4. Step 4: Simplify right side
   188,415x = 167,733,250,256.25
5. Step 5: Solve for x
   x = 167,733,250,256.25/188,415
6. Step 6: Final answer
   x = 890,233.00