Finding the Third Proportional to 70,381 and 146,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   70,381 : 146,586.50 = 146,586.50 : x
2. Step 2: Convert to fraction form
   70,381/146,586.50 = 146,586.50/x
3. Step 3: Cross multiply
   70,381x = 146,586.50 × 146,586.50
4. Step 4: Simplify right side
   70,381x = 21,487,601,982.25
5. Step 5: Solve for x
   x = 21,487,601,982.25/70,381
6. Step 6: Final answer
   x = 305,304.02