Finding the Third Proportional to 358,047 and 780,003

Step by Step Solution

1. Step 1: Write the proportion equation
   358,047 : 780,003 = 780,003 : x
2. Step 2: Convert to fraction form
   358,047/780,003 = 780,003/x
3. Step 3: Cross multiply
   358,047x = 780,003 × 780,003
4. Step 4: Simplify right side
   358,047x = 608,404,680,009
5. Step 5: Solve for x
   x = 608,404,680,009/358,047
6. Step 6: Final answer
   x = 1,699,231.33