Finding the Third Proportional to 222,420 and 344,689.50

Step by Step Solution

1. Step 1: Write the proportion equation
   222,420 : 344,689.50 = 344,689.50 : x
2. Step 2: Convert to fraction form
   222,420/344,689.50 = 344,689.50/x
3. Step 3: Cross multiply
   222,420x = 344,689.50 × 344,689.50
4. Step 4: Simplify right side
   222,420x = 118,810,851,410.25
5. Step 5: Solve for x
   x = 118,810,851,410.25/222,420
6. Step 6: Final answer
   x = 534,173.42