Finding the Third Proportional to 404,133 and 588,429

Step by Step Solution

1. Step 1: Write the proportion equation
   404,133 : 588,429 = 588,429 : x
2. Step 2: Convert to fraction form
   404,133/588,429 = 588,429/x
3. Step 3: Cross multiply
   404,133x = 588,429 × 588,429
4. Step 4: Simplify right side
   404,133x = 346,248,688,041
5. Step 5: Solve for x
   x = 346,248,688,041/404,133
6. Step 6: Final answer
   x = 856,769.15