Finding the Third Proportional to 99,558.50 and 214,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,558.50 : 214,965.50 = 214,965.50 : x
2. Step 2: Convert to fraction form
   99,558.50/214,965.50 = 214,965.50/x
3. Step 3: Cross multiply
   99,558.50x = 214,965.50 × 214,965.50
4. Step 4: Simplify right side
   99,558.50x = 46,210,166,190.25
5. Step 5: Solve for x
   x = 46,210,166,190.25/99,558.50
6. Step 6: Final answer
   x = 464,150.89