Finding the Third Proportional to 222,594 and 341,253

Step by Step Solution

1. Step 1: Write the proportion equation
   222,594 : 341,253 = 341,253 : x
2. Step 2: Convert to fraction form
   222,594/341,253 = 341,253/x
3. Step 3: Cross multiply
   222,594x = 341,253 × 341,253
4. Step 4: Simplify right side
   222,594x = 116,453,610,009
5. Step 5: Solve for x
   x = 116,453,610,009/222,594
6. Step 6: Final answer
   x = 523,165.99