Finding the Third Proportional to 100,824 and 152,046

Step by Step Solution

1. Step 1: Write the proportion equation
   100,824 : 152,046 = 152,046 : x
2. Step 2: Convert to fraction form
   100,824/152,046 = 152,046/x
3. Step 3: Cross multiply
   100,824x = 152,046 × 152,046
4. Step 4: Simplify right side
   100,824x = 23,117,986,116
5. Step 5: Solve for x
   x = 23,117,986,116/100,824
6. Step 6: Final answer
   x = 229,290.51