Finding the Third Proportional to 72,468 and 146,983.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,468 : 146,983.50 = 146,983.50 : x
2. Step 2: Convert to fraction form
   72,468/146,983.50 = 146,983.50/x
3. Step 3: Cross multiply
   72,468x = 146,983.50 × 146,983.50
4. Step 4: Simplify right side
   72,468x = 21,604,149,272.25
5. Step 5: Solve for x
   x = 21,604,149,272.25/72,468
6. Step 6: Final answer
   x = 298,119.85