Finding the Third Proportional to 62,296 and 146,250

Step by Step Solution

1. Step 1: Write the proportion equation
   62,296 : 146,250 = 146,250 : x
2. Step 2: Convert to fraction form
   62,296/146,250 = 146,250/x
3. Step 3: Cross multiply
   62,296x = 146,250 × 146,250
4. Step 4: Simplify right side
   62,296x = 21,389,062,500
5. Step 5: Solve for x
   x = 21,389,062,500/62,296
6. Step 6: Final answer
   x = 343,345.68