Finding the Third Proportional to 194,176.50 and 401,832

Step by Step Solution

1. Step 1: Write the proportion equation
   194,176.50 : 401,832 = 401,832 : x
2. Step 2: Convert to fraction form
   194,176.50/401,832 = 401,832/x
3. Step 3: Cross multiply
   194,176.50x = 401,832 × 401,832
4. Step 4: Simplify right side
   194,176.50x = 161,468,956,224
5. Step 5: Solve for x
   x = 161,468,956,224/194,176.50
6. Step 6: Final answer
   x = 831,557.66