Finding the Third Proportional to 766,902 and 1,186,245

Step by Step Solution

1. Step 1: Write the proportion equation
   766,902 : 1,186,245 = 1,186,245 : x
2. Step 2: Convert to fraction form
   766,902/1,186,245 = 1,186,245/x
3. Step 3: Cross multiply
   766,902x = 1,186,245 × 1,186,245
4. Step 4: Simplify right side
   766,902x = 1,407,177,200,025
5. Step 5: Solve for x
   x = 1,407,177,200,025/766,902
6. Step 6: Final answer
   x = 1,834,885.29