Finding the Third Proportional to 82,116 and 177,051

Step by Step Solution

1. Step 1: Write the proportion equation
   82,116 : 177,051 = 177,051 : x
2. Step 2: Convert to fraction form
   82,116/177,051 = 177,051/x
3. Step 3: Cross multiply
   82,116x = 177,051 × 177,051
4. Step 4: Simplify right side
   82,116x = 31,347,056,601
5. Step 5: Solve for x
   x = 31,347,056,601/82,116
6. Step 6: Final answer
   x = 381,741.15