Finding the Third Proportional to 512,375.63 and 765,774

Step by Step Solution

1. Step 1: Write the proportion equation
   512,375.63 : 765,774 = 765,774 : x
2. Step 2: Convert to fraction form
   512,375.63/765,774 = 765,774/x
3. Step 3: Cross multiply
   512,375.63x = 765,774 × 765,774
4. Step 4: Simplify right side
   512,375.63x = 586,409,819,076
5. Step 5: Solve for x
   x = 586,409,819,076/512,375.63
6. Step 6: Final answer
   x = 1,144,492.03