Finding the Third Proportional to 297,822 and 637,196

Step by Step Solution

1. Step 1: Write the proportion equation
   297,822 : 637,196 = 637,196 : x
2. Step 2: Convert to fraction form
   297,822/637,196 = 637,196/x
3. Step 3: Cross multiply
   297,822x = 637,196 × 637,196
4. Step 4: Simplify right side
   297,822x = 406,018,742,416
5. Step 5: Solve for x
   x = 406,018,742,416/297,822
6. Step 6: Final answer
   x = 1,363,293.32