Finding the Third Proportional to 142,398 and 191,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,398 : 191,686.50 = 191,686.50 : x
2. Step 2: Convert to fraction form
   142,398/191,686.50 = 191,686.50/x
3. Step 3: Cross multiply
   142,398x = 191,686.50 × 191,686.50
4. Step 4: Simplify right side
   142,398x = 36,743,714,282.25
5. Step 5: Solve for x
   x = 36,743,714,282.25/142,398
6. Step 6: Final answer
   x = 258,035.33