Finding the Third Proportional to 105,090 and 230,619

Step by Step Solution

1. Step 1: Write the proportion equation
   105,090 : 230,619 = 230,619 : x
2. Step 2: Convert to fraction form
   105,090/230,619 = 230,619/x
3. Step 3: Cross multiply
   105,090x = 230,619 × 230,619
4. Step 4: Simplify right side
   105,090x = 53,185,123,161
5. Step 5: Solve for x
   x = 53,185,123,161/105,090
6. Step 6: Final answer
   x = 506,091.19