Finding the Third Proportional to 345,876 and 757,362

Step by Step Solution

1. Step 1: Write the proportion equation
   345,876 : 757,362 = 757,362 : x
2. Step 2: Convert to fraction form
   345,876/757,362 = 757,362/x
3. Step 3: Cross multiply
   345,876x = 757,362 × 757,362
4. Step 4: Simplify right side
   345,876x = 573,597,199,044
5. Step 5: Solve for x
   x = 573,597,199,044/345,876
6. Step 6: Final answer
   x = 1,658,389.71