Finding the Third Proportional to 222,772.50 and 457,353

Step by Step Solution

1. Step 1: Write the proportion equation
   222,772.50 : 457,353 = 457,353 : x
2. Step 2: Convert to fraction form
   222,772.50/457,353 = 457,353/x
3. Step 3: Cross multiply
   222,772.50x = 457,353 × 457,353
4. Step 4: Simplify right side
   222,772.50x = 209,171,766,609
5. Step 5: Solve for x
   x = 209,171,766,609/222,772.50
6. Step 6: Final answer
   x = 938,947.88