Finding the Third Proportional to 146,980 and 227,098.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,980 : 227,098.50 = 227,098.50 : x
2. Step 2: Convert to fraction form
   146,980/227,098.50 = 227,098.50/x
3. Step 3: Cross multiply
   146,980x = 227,098.50 × 227,098.50
4. Step 4: Simplify right side
   146,980x = 51,573,728,702.25
5. Step 5: Solve for x
   x = 51,573,728,702.25/146,980
6. Step 6: Final answer
   x = 350,889.43