Finding the Third Proportional to 782,136 and 1,181,952

Step by Step Solution

1. Step 1: Write the proportion equation
   782,136 : 1,181,952 = 1,181,952 : x
2. Step 2: Convert to fraction form
   782,136/1,181,952 = 1,181,952/x
3. Step 3: Cross multiply
   782,136x = 1,181,952 × 1,181,952
4. Step 4: Simplify right side
   782,136x = 1,397,010,530,304
5. Step 5: Solve for x
   x = 1,397,010,530,304/782,136
6. Step 6: Final answer
   x = 1,786,147.84