Finding the Third Proportional to 307,566 and 661,116

Step by Step Solution

1. Step 1: Write the proportion equation
   307,566 : 661,116 = 661,116 : x
2. Step 2: Convert to fraction form
   307,566/661,116 = 661,116/x
3. Step 3: Cross multiply
   307,566x = 661,116 × 661,116
4. Step 4: Simplify right side
   307,566x = 437,074,365,456
5. Step 5: Solve for x
   x = 437,074,365,456/307,566
6. Step 6: Final answer
   x = 1,421,075.04