Finding the Third Proportional to 88,065 and 164,448

Step by Step Solution

1. Step 1: Write the proportion equation
   88,065 : 164,448 = 164,448 : x
2. Step 2: Convert to fraction form
   88,065/164,448 = 164,448/x
3. Step 3: Cross multiply
   88,065x = 164,448 × 164,448
4. Step 4: Simplify right side
   88,065x = 27,043,144,704
5. Step 5: Solve for x
   x = 27,043,144,704/88,065
6. Step 6: Final answer
   x = 307,081.64