Finding the Third Proportional to 362,010 and 780,123

Step by Step Solution

1. Step 1: Write the proportion equation
   362,010 : 780,123 = 780,123 : x
2. Step 2: Convert to fraction form
   362,010/780,123 = 780,123/x
3. Step 3: Cross multiply
   362,010x = 780,123 × 780,123
4. Step 4: Simplify right side
   362,010x = 608,591,895,129
5. Step 5: Solve for x
   x = 608,591,895,129/362,010
6. Step 6: Final answer
   x = 1,681,146.64