Finding the Third Proportional to 178,144 and 370,978

Step by Step Solution

1. Step 1: Write the proportion equation
   178,144 : 370,978 = 370,978 : x
2. Step 2: Convert to fraction form
   178,144/370,978 = 370,978/x
3. Step 3: Cross multiply
   178,144x = 370,978 × 370,978
4. Step 4: Simplify right side
   178,144x = 137,624,676,484
5. Step 5: Solve for x
   x = 137,624,676,484/178,144
6. Step 6: Final answer
   x = 772,547.36