Finding the Third Proportional to 145,140 and 213,442.25

Step by Step Solution

1. Step 1: Write the proportion equation
   145,140 : 213,442.25 = 213,442.25 : x
2. Step 2: Convert to fraction form
   145,140/213,442.25 = 213,442.25/x
3. Step 3: Cross multiply
   145,140x = 213,442.25 × 213,442.25
4. Step 4: Simplify right side
   145,140x = 45,557,594,085.06
5. Step 5: Solve for x
   x = 45,557,594,085.06/145,140
6. Step 6: Final answer
   x = 313,887.24