Finding the Third Proportional to 185,803.50 and 401,415

Step by Step Solution

1. Step 1: Write the proportion equation
   185,803.50 : 401,415 = 401,415 : x
2. Step 2: Convert to fraction form
   185,803.50/401,415 = 401,415/x
3. Step 3: Cross multiply
   185,803.50x = 401,415 × 401,415
4. Step 4: Simplify right side
   185,803.50x = 161,134,002,225
5. Step 5: Solve for x
   x = 161,134,002,225/185,803.50
6. Step 6: Final answer
   x = 867,228.02