Finding the Third Proportional to 359,535 and 780,184

Step by Step Solution

1. Step 1: Write the proportion equation
   359,535 : 780,184 = 780,184 : x
2. Step 2: Convert to fraction form
   359,535/780,184 = 780,184/x
3. Step 3: Cross multiply
   359,535x = 780,184 × 780,184
4. Step 4: Simplify right side
   359,535x = 608,687,073,856
5. Step 5: Solve for x
   x = 608,687,073,856/359,535
6. Step 6: Final answer
   x = 1,692,984.20