Finding the Third Proportional to 106,009.50 and 230,424

Step by Step Solution

1. Step 1: Write the proportion equation
   106,009.50 : 230,424 = 230,424 : x
2. Step 2: Convert to fraction form
   106,009.50/230,424 = 230,424/x
3. Step 3: Cross multiply
   106,009.50x = 230,424 × 230,424
4. Step 4: Simplify right side
   106,009.50x = 53,095,219,776
5. Step 5: Solve for x
   x = 53,095,219,776/106,009.50
6. Step 6: Final answer
   x = 500,853.41