Finding the Third Proportional to 359,540 and 780,196

Step by Step Solution

1. Step 1: Write the proportion equation
   359,540 : 780,196 = 780,196 : x
2. Step 2: Convert to fraction form
   359,540/780,196 = 780,196/x
3. Step 3: Cross multiply
   359,540x = 780,196 × 780,196
4. Step 4: Simplify right side
   359,540x = 608,705,798,416
5. Step 5: Solve for x
   x = 608,705,798,416/359,540
6. Step 6: Final answer
   x = 1,693,012.73