Finding the Third Proportional to 290,047 and 448,196

Step by Step Solution

1. Step 1: Write the proportion equation
   290,047 : 448,196 = 448,196 : x
2. Step 2: Convert to fraction form
   290,047/448,196 = 448,196/x
3. Step 3: Cross multiply
   290,047x = 448,196 × 448,196
4. Step 4: Simplify right side
   290,047x = 200,879,654,416
5. Step 5: Solve for x
   x = 200,879,654,416/290,047
6. Step 6: Final answer
   x = 692,576.22