Finding the Third Proportional to 102,184 and 152,648

Step by Step Solution

1. Step 1: Write the proportion equation
   102,184 : 152,648 = 152,648 : x
2. Step 2: Convert to fraction form
   102,184/152,648 = 152,648/x
3. Step 3: Cross multiply
   102,184x = 152,648 × 152,648
4. Step 4: Simplify right side
   102,184x = 23,301,411,904
5. Step 5: Solve for x
   x = 23,301,411,904/102,184
6. Step 6: Final answer
   x = 228,033.86