Finding the Third Proportional to 178,969.50 and 385,974

Step by Step Solution

1. Step 1: Write the proportion equation
   178,969.50 : 385,974 = 385,974 : x
2. Step 2: Convert to fraction form
   178,969.50/385,974 = 385,974/x
3. Step 3: Cross multiply
   178,969.50x = 385,974 × 385,974
4. Step 4: Simplify right side
   178,969.50x = 148,975,928,676
5. Step 5: Solve for x
   x = 148,975,928,676/178,969.50
6. Step 6: Final answer
   x = 832,409.59