Finding the Third Proportional to 101,992.50 and 218,018.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,992.50 : 218,018.50 = 218,018.50 : x
2. Step 2: Convert to fraction form
   101,992.50/218,018.50 = 218,018.50/x
3. Step 3: Cross multiply
   101,992.50x = 218,018.50 × 218,018.50
4. Step 4: Simplify right side
   101,992.50x = 47,532,066,342.25
5. Step 5: Solve for x
   x = 47,532,066,342.25/101,992.50
6. Step 6: Final answer
   x = 466,034.92