Finding the Third Proportional to 106,532 and 233,109

Step by Step Solution

1. Step 1: Write the proportion equation
   106,532 : 233,109 = 233,109 : x
2. Step 2: Convert to fraction form
   106,532/233,109 = 233,109/x
3. Step 3: Cross multiply
   106,532x = 233,109 × 233,109
4. Step 4: Simplify right side
   106,532x = 54,339,805,881
5. Step 5: Solve for x
   x = 54,339,805,881/106,532
6. Step 6: Final answer
   x = 510,079.66