Finding the Third Proportional to 105,102 and 233,532

Step by Step Solution

1. Step 1: Write the proportion equation
   105,102 : 233,532 = 233,532 : x
2. Step 2: Convert to fraction form
   105,102/233,532 = 233,532/x
3. Step 3: Cross multiply
   105,102x = 233,532 × 233,532
4. Step 4: Simplify right side
   105,102x = 54,537,195,024
5. Step 5: Solve for x
   x = 54,537,195,024/105,102
6. Step 6: Final answer
   x = 518,897.79