Finding the Third Proportional to 82,145 and 176,558.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,145 : 176,558.50 = 176,558.50 : x
2. Step 2: Convert to fraction form
   82,145/176,558.50 = 176,558.50/x
3. Step 3: Cross multiply
   82,145x = 176,558.50 × 176,558.50
4. Step 4: Simplify right side
   82,145x = 31,172,903,922.25
5. Step 5: Solve for x
   x = 31,172,903,922.25/82,145
6. Step 6: Final answer
   x = 379,486.32