Finding the Third Proportional to 210,424 and 295,978

Step by Step Solution

1. Step 1: Write the proportion equation
   210,424 : 295,978 = 295,978 : x
2. Step 2: Convert to fraction form
   210,424/295,978 = 295,978/x
3. Step 3: Cross multiply
   210,424x = 295,978 × 295,978
4. Step 4: Simplify right side
   210,424x = 87,602,976,484
5. Step 5: Solve for x
   x = 87,602,976,484/210,424
6. Step 6: Final answer
   x = 416,316.47