Finding the Third Proportional to 99,209.25 and 213,970.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,209.25 : 213,970.50 = 213,970.50 : x
2. Step 2: Convert to fraction form
   99,209.25/213,970.50 = 213,970.50/x
3. Step 3: Cross multiply
   99,209.25x = 213,970.50 × 213,970.50
4. Step 4: Simplify right side
   99,209.25x = 45,783,374,870.25
5. Step 5: Solve for x
   x = 45,783,374,870.25/99,209.25
6. Step 6: Final answer
   x = 461,482.92