Finding the Third Proportional to 178,142 and 370,978

Step by Step Solution

1. Step 1: Write the proportion equation
   178,142 : 370,978 = 370,978 : x
2. Step 2: Convert to fraction form
   178,142/370,978 = 370,978/x
3. Step 3: Cross multiply
   178,142x = 370,978 × 370,978
4. Step 4: Simplify right side
   178,142x = 137,624,676,484
5. Step 5: Solve for x
   x = 137,624,676,484/178,142
6. Step 6: Final answer
   x = 772,556.03