Finding the Third Proportional to 102,128 and 142,850

Step by Step Solution

1. Step 1: Write the proportion equation
   102,128 : 142,850 = 142,850 : x
2. Step 2: Convert to fraction form
   102,128/142,850 = 142,850/x
3. Step 3: Cross multiply
   102,128x = 142,850 × 142,850
4. Step 4: Simplify right side
   102,128x = 20,406,122,500
5. Step 5: Solve for x
   x = 20,406,122,500/102,128
6. Step 6: Final answer
   x = 199,809.28