Finding the Third Proportional to 101,111.50 and 218,804.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,111.50 : 218,804.50 = 218,804.50 : x
2. Step 2: Convert to fraction form
   101,111.50/218,804.50 = 218,804.50/x
3. Step 3: Cross multiply
   101,111.50x = 218,804.50 × 218,804.50
4. Step 4: Simplify right side
   101,111.50x = 47,875,409,220.25
5. Step 5: Solve for x
   x = 47,875,409,220.25/101,111.50
6. Step 6: Final answer
   x = 473,491.24