Finding the Third Proportional to 82,146 and 177,400.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,146 : 177,400.50 = 177,400.50 : x
2. Step 2: Convert to fraction form
   82,146/177,400.50 = 177,400.50/x
3. Step 3: Cross multiply
   82,146x = 177,400.50 × 177,400.50
4. Step 4: Simplify right side
   82,146x = 31,470,937,400.25
5. Step 5: Solve for x
   x = 31,470,937,400.25/82,146
6. Step 6: Final answer
   x = 383,109.80