Finding the Third Proportional to 63,193 and 146,294.50

Step by Step Solution

1. Step 1: Write the proportion equation
   63,193 : 146,294.50 = 146,294.50 : x
2. Step 2: Convert to fraction form
   63,193/146,294.50 = 146,294.50/x
3. Step 3: Cross multiply
   63,193x = 146,294.50 × 146,294.50
4. Step 4: Simplify right side
   63,193x = 21,402,080,730.25
5. Step 5: Solve for x
   x = 21,402,080,730.25/63,193
6. Step 6: Final answer
   x = 338,678.03