Finding the Third Proportional to 57,730 and 123,770

Step by Step Solution

1. Step 1: Write the proportion equation
   57,730 : 123,770 = 123,770 : x
2. Step 2: Convert to fraction form
   57,730/123,770 = 123,770/x
3. Step 3: Cross multiply
   57,730x = 123,770 × 123,770
4. Step 4: Simplify right side
   57,730x = 15,319,012,900
5. Step 5: Solve for x
   x = 15,319,012,900/57,730
6. Step 6: Final answer
   x = 265,356.19