Finding the Third Proportional to 99,811.50 and 216,410.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,811.50 : 216,410.50 = 216,410.50 : x
2. Step 2: Convert to fraction form
   99,811.50/216,410.50 = 216,410.50/x
3. Step 3: Cross multiply
   99,811.50x = 216,410.50 × 216,410.50
4. Step 4: Simplify right side
   99,811.50x = 46,833,504,510.25
5. Step 5: Solve for x
   x = 46,833,504,510.25/99,811.50
6. Step 6: Final answer
   x = 469,219.52