Finding the Third Proportional to 402,084 and 804,127.50

Step by Step Solution

1. Step 1: Write the proportion equation
   402,084 : 804,127.50 = 804,127.50 : x
2. Step 2: Convert to fraction form
   402,084/804,127.50 = 804,127.50/x
3. Step 3: Cross multiply
   402,084x = 804,127.50 × 804,127.50
4. Step 4: Simplify right side
   402,084x = 646,621,036,256.25
5. Step 5: Solve for x
   x = 646,621,036,256.25/402,084
6. Step 6: Final answer
   x = 1,608,174.00