Finding the Third Proportional to 359,066 and 777,564

Step by Step Solution

1. Step 1: Write the proportion equation
   359,066 : 777,564 = 777,564 : x
2. Step 2: Convert to fraction form
   359,066/777,564 = 777,564/x
3. Step 3: Cross multiply
   359,066x = 777,564 × 777,564
4. Step 4: Simplify right side
   359,066x = 604,605,774,096
5. Step 5: Solve for x
   x = 604,605,774,096/359,066
6. Step 6: Final answer
   x = 1,683,829.08