Finding the Third Proportional to 101,192.50 and 222,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,192.50 : 222,758.50 = 222,758.50 : x
2. Step 2: Convert to fraction form
   101,192.50/222,758.50 = 222,758.50/x
3. Step 3: Cross multiply
   101,192.50x = 222,758.50 × 222,758.50
4. Step 4: Simplify right side
   101,192.50x = 49,621,349,322.25
5. Step 5: Solve for x
   x = 49,621,349,322.25/101,192.50
6. Step 6: Final answer
   x = 490,365.88