Finding the Third Proportional to 654,807 and 978,178

Step by Step Solution

1. Step 1: Write the proportion equation
   654,807 : 978,178 = 978,178 : x
2. Step 2: Convert to fraction form
   654,807/978,178 = 978,178/x
3. Step 3: Cross multiply
   654,807x = 978,178 × 978,178
4. Step 4: Simplify right side
   654,807x = 956,832,199,684
5. Step 5: Solve for x
   x = 956,832,199,684/654,807
6. Step 6: Final answer
   x = 1,461,243.08