Finding the Third Proportional to 101,824 and 152,928

Step by Step Solution

1. Step 1: Write the proportion equation
   101,824 : 152,928 = 152,928 : x
2. Step 2: Convert to fraction form
   101,824/152,928 = 152,928/x
3. Step 3: Cross multiply
   101,824x = 152,928 × 152,928
4. Step 4: Simplify right side
   101,824x = 23,386,973,184
5. Step 5: Solve for x
   x = 23,386,973,184/101,824
6. Step 6: Final answer
   x = 229,680.36