Finding the Third Proportional to 357,376 and 776,960

Step by Step Solution

1. Step 1: Write the proportion equation
   357,376 : 776,960 = 776,960 : x
2. Step 2: Convert to fraction form
   357,376/776,960 = 776,960/x
3. Step 3: Cross multiply
   357,376x = 776,960 × 776,960
4. Step 4: Simplify right side
   357,376x = 603,666,841,600
5. Step 5: Solve for x
   x = 603,666,841,600/357,376
6. Step 6: Final answer
   x = 1,689,164.47