Finding the Third Proportional to 108,688 and 233,443

Step by Step Solution

1. Step 1: Write the proportion equation
   108,688 : 233,443 = 233,443 : x
2. Step 2: Convert to fraction form
   108,688/233,443 = 233,443/x
3. Step 3: Cross multiply
   108,688x = 233,443 × 233,443
4. Step 4: Simplify right side
   108,688x = 54,495,634,249
5. Step 5: Solve for x
   x = 54,495,634,249/108,688
6. Step 6: Final answer
   x = 501,395.13