Finding the Third Proportional to 82,380 and 169,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,380 : 169,678.50 = 169,678.50 : x
2. Step 2: Convert to fraction form
   82,380/169,678.50 = 169,678.50/x
3. Step 3: Cross multiply
   82,380x = 169,678.50 × 169,678.50
4. Step 4: Simplify right side
   82,380x = 28,790,793,362.25
5. Step 5: Solve for x
   x = 28,790,793,362.25/82,380
6. Step 6: Final answer
   x = 349,487.66