Finding the Third Proportional to 785,410 and 1,209,006

Step by Step Solution

1. Step 1: Write the proportion equation
   785,410 : 1,209,006 = 1,209,006 : x
2. Step 2: Convert to fraction form
   785,410/1,209,006 = 1,209,006/x
3. Step 3: Cross multiply
   785,410x = 1,209,006 × 1,209,006
4. Step 4: Simplify right side
   785,410x = 1,461,695,508,036
5. Step 5: Solve for x
   x = 1,461,695,508,036/785,410
6. Step 6: Final answer
   x = 1,861,060.48