Finding the Third Proportional to 677,784 and 1,467,146

Step by Step Solution

1. Step 1: Write the proportion equation
   677,784 : 1,467,146 = 1,467,146 : x
2. Step 2: Convert to fraction form
   677,784/1,467,146 = 1,467,146/x
3. Step 3: Cross multiply
   677,784x = 1,467,146 × 1,467,146
4. Step 4: Simplify right side
   677,784x = 2,152,517,385,316
5. Step 5: Solve for x
   x = 2,152,517,385,316/677,784
6. Step 6: Final answer
   x = 3,175,816.17