Finding the Third Proportional to 101,800 and 152,712

Step by Step Solution

1. Step 1: Write the proportion equation
   101,800 : 152,712 = 152,712 : x
2. Step 2: Convert to fraction form
   101,800/152,712 = 152,712/x
3. Step 3: Cross multiply
   101,800x = 152,712 × 152,712
4. Step 4: Simplify right side
   101,800x = 23,320,954,944
5. Step 5: Solve for x
   x = 23,320,954,944/101,800
6. Step 6: Final answer
   x = 229,086.00