Finding the Third Proportional to 293,661 and 633,978

Step by Step Solution

1. Step 1: Write the proportion equation
   293,661 : 633,978 = 633,978 : x
2. Step 2: Convert to fraction form
   293,661/633,978 = 633,978/x
3. Step 3: Cross multiply
   293,661x = 633,978 × 633,978
4. Step 4: Simplify right side
   293,661x = 401,928,104,484
5. Step 5: Solve for x
   x = 401,928,104,484/293,661
6. Step 6: Final answer
   x = 1,368,680.57