Finding the Third Proportional to 123,258 and 190,321.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,258 : 190,321.50 = 190,321.50 : x
2. Step 2: Convert to fraction form
   123,258/190,321.50 = 190,321.50/x
3. Step 3: Cross multiply
   123,258x = 190,321.50 × 190,321.50
4. Step 4: Simplify right side
   123,258x = 36,222,273,362.25
5. Step 5: Solve for x
   x = 36,222,273,362.25/123,258
6. Step 6: Final answer
   x = 293,873.61