Finding the Third Proportional to 102,212 and 140,748

Step by Step Solution

1. Step 1: Write the proportion equation
   102,212 : 140,748 = 140,748 : x
2. Step 2: Convert to fraction form
   102,212/140,748 = 140,748/x
3. Step 3: Cross multiply
   102,212x = 140,748 × 140,748
4. Step 4: Simplify right side
   102,212x = 19,809,999,504
5. Step 5: Solve for x
   x = 19,809,999,504/102,212
6. Step 6: Final answer
   x = 193,812.85