Finding the Third Proportional to 765,178 and 1,123,191

Step by Step Solution

1. Step 1: Write the proportion equation
   765,178 : 1,123,191 = 1,123,191 : x
2. Step 2: Convert to fraction form
   765,178/1,123,191 = 1,123,191/x
3. Step 3: Cross multiply
   765,178x = 1,123,191 × 1,123,191
4. Step 4: Simplify right side
   765,178x = 1,261,558,022,481
5. Step 5: Solve for x
   x = 1,261,558,022,481/765,178
6. Step 6: Final answer
   x = 1,648,711.83