Finding the Third Proportional to 359,969 and 777,665

Step by Step Solution

1. Step 1: Write the proportion equation
   359,969 : 777,665 = 777,665 : x
2. Step 2: Convert to fraction form
   359,969/777,665 = 777,665/x
3. Step 3: Cross multiply
   359,969x = 777,665 × 777,665
4. Step 4: Simplify right side
   359,969x = 604,762,852,225
5. Step 5: Solve for x
   x = 604,762,852,225/359,969
6. Step 6: Final answer
   x = 1,680,041.48