Finding the Third Proportional to 88,128 and 182,184

Step by Step Solution

1. Step 1: Write the proportion equation
   88,128 : 182,184 = 182,184 : x
2. Step 2: Convert to fraction form
   88,128/182,184 = 182,184/x
3. Step 3: Cross multiply
   88,128x = 182,184 × 182,184
4. Step 4: Simplify right side
   88,128x = 33,191,009,856
5. Step 5: Solve for x
   x = 33,191,009,856/88,128
6. Step 6: Final answer
   x = 376,622.75