Finding the Third Proportional to 375,300 and 765,876

Step by Step Solution

1. Step 1: Write the proportion equation
   375,300 : 765,876 = 765,876 : x
2. Step 2: Convert to fraction form
   375,300/765,876 = 765,876/x
3. Step 3: Cross multiply
   375,300x = 765,876 × 765,876
4. Step 4: Simplify right side
   375,300x = 586,566,047,376
5. Step 5: Solve for x
   x = 586,566,047,376/375,300
6. Step 6: Final answer
   x = 1,562,925.79