Finding the Third Proportional to 359,546 and 780,208

Step by Step Solution

1. Step 1: Write the proportion equation
   359,546 : 780,208 = 780,208 : x
2. Step 2: Convert to fraction form
   359,546/780,208 = 780,208/x
3. Step 3: Cross multiply
   359,546x = 780,208 × 780,208
4. Step 4: Simplify right side
   359,546x = 608,724,523,264
5. Step 5: Solve for x
   x = 608,724,523,264/359,546
6. Step 6: Final answer
   x = 1,693,036.56