Finding the Third Proportional to 82,134 and 177,376.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,134 : 177,376.50 = 177,376.50 : x
2. Step 2: Convert to fraction form
   82,134/177,376.50 = 177,376.50/x
3. Step 3: Cross multiply
   82,134x = 177,376.50 × 177,376.50
4. Step 4: Simplify right side
   82,134x = 31,462,422,752.25
5. Step 5: Solve for x
   x = 31,462,422,752.25/82,134
6. Step 6: Final answer
   x = 383,062.10