Finding the Third Proportional to 766,354 and 1,160,146

Step by Step Solution

1. Step 1: Write the proportion equation
   766,354 : 1,160,146 = 1,160,146 : x
2. Step 2: Convert to fraction form
   766,354/1,160,146 = 1,160,146/x
3. Step 3: Cross multiply
   766,354x = 1,160,146 × 1,160,146
4. Step 4: Simplify right side
   766,354x = 1,345,938,741,316
5. Step 5: Solve for x
   x = 1,345,938,741,316/766,354
6. Step 6: Final answer
   x = 1,756,288.53