Finding the Third Proportional to 520,178 and 978,148

Step by Step Solution

1. Step 1: Write the proportion equation
   520,178 : 978,148 = 978,148 : x
2. Step 2: Convert to fraction form
   520,178/978,148 = 978,148/x
3. Step 3: Cross multiply
   520,178x = 978,148 × 978,148
4. Step 4: Simplify right side
   520,178x = 956,773,509,904
5. Step 5: Solve for x
   x = 956,773,509,904/520,178
6. Step 6: Final answer
   x = 1,839,319.44