Finding the Third Proportional to 82,152 and 172,888

Step by Step Solution

1. Step 1: Write the proportion equation
   82,152 : 172,888 = 172,888 : x
2. Step 2: Convert to fraction form
   82,152/172,888 = 172,888/x
3. Step 3: Cross multiply
   82,152x = 172,888 × 172,888
4. Step 4: Simplify right side
   82,152x = 29,890,260,544
5. Step 5: Solve for x
   x = 29,890,260,544/82,152
6. Step 6: Final answer
   x = 363,840.94