Finding the Third Proportional to 178,972 and 385,978

Step by Step Solution

1. Step 1: Write the proportion equation
   178,972 : 385,978 = 385,978 : x
2. Step 2: Convert to fraction form
   178,972/385,978 = 385,978/x
3. Step 3: Cross multiply
   178,972x = 385,978 × 385,978
4. Step 4: Simplify right side
   178,972x = 148,979,016,484
5. Step 5: Solve for x
   x = 148,979,016,484/178,972
6. Step 6: Final answer
   x = 832,415.22