Finding the Third Proportional to 99,830.25 and 218,083.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,830.25 : 218,083.50 = 218,083.50 : x
2. Step 2: Convert to fraction form
   99,830.25/218,083.50 = 218,083.50/x
3. Step 3: Cross multiply
   99,830.25x = 218,083.50 × 218,083.50
4. Step 4: Simplify right side
   99,830.25x = 47,560,412,972.25
5. Step 5: Solve for x
   x = 47,560,412,972.25/99,830.25
6. Step 6: Final answer
   x = 476,412.84