Finding the Third Proportional to 99,796.50 and 218,227.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,796.50 : 218,227.50 = 218,227.50 : x
2. Step 2: Convert to fraction form
   99,796.50/218,227.50 = 218,227.50/x
3. Step 3: Cross multiply
   99,796.50x = 218,227.50 × 218,227.50
4. Step 4: Simplify right side
   99,796.50x = 47,623,241,756.25
5. Step 5: Solve for x
   x = 47,623,241,756.25/99,796.50
6. Step 6: Final answer
   x = 477,203.53