Finding the Third Proportional to 223,384 and 341,196

Step by Step Solution

1. Step 1: Write the proportion equation
   223,384 : 341,196 = 341,196 : x
2. Step 2: Convert to fraction form
   223,384/341,196 = 341,196/x
3. Step 3: Cross multiply
   223,384x = 341,196 × 341,196
4. Step 4: Simplify right side
   223,384x = 116,414,710,416
5. Step 5: Solve for x
   x = 116,414,710,416/223,384
6. Step 6: Final answer
   x = 521,141.67