Finding the Third Proportional to 106,705 and 233,090

Step by Step Solution

1. Step 1: Write the proportion equation
   106,705 : 233,090 = 233,090 : x
2. Step 2: Convert to fraction form
   106,705/233,090 = 233,090/x
3. Step 3: Cross multiply
   106,705x = 233,090 × 233,090
4. Step 4: Simplify right side
   106,705x = 54,330,948,100
5. Step 5: Solve for x
   x = 54,330,948,100/106,705
6. Step 6: Final answer
   x = 509,169.66