Finding the Third Proportional to 140,748 and 218,262

Step by Step Solution

1. Step 1: Write the proportion equation
   140,748 : 218,262 = 218,262 : x
2. Step 2: Convert to fraction form
   140,748/218,262 = 218,262/x
3. Step 3: Cross multiply
   140,748x = 218,262 × 218,262
4. Step 4: Simplify right side
   140,748x = 47,638,300,644
5. Step 5: Solve for x
   x = 47,638,300,644/140,748
6. Step 6: Final answer
   x = 338,465.20