Finding the Third Proportional to 222,642 and 341,316

Step by Step Solution

1. Step 1: Write the proportion equation
   222,642 : 341,316 = 341,316 : x
2. Step 2: Convert to fraction form
   222,642/341,316 = 341,316/x
3. Step 3: Cross multiply
   222,642x = 341,316 × 341,316
4. Step 4: Simplify right side
   222,642x = 116,496,611,856
5. Step 5: Solve for x
   x = 116,496,611,856/222,642
6. Step 6: Final answer
   x = 523,246.34