Finding the Third Proportional to 106,633.50 and 230,343

Step by Step Solution

1. Step 1: Write the proportion equation
   106,633.50 : 230,343 = 230,343 : x
2. Step 2: Convert to fraction form
   106,633.50/230,343 = 230,343/x
3. Step 3: Cross multiply
   106,633.50x = 230,343 × 230,343
4. Step 4: Simplify right side
   106,633.50x = 53,057,897,649
5. Step 5: Solve for x
   x = 53,057,897,649/106,633.50
6. Step 6: Final answer
   x = 497,572.50