Finding the Third Proportional to 82,269 and 178,483.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,269 : 178,483.50 = 178,483.50 : x
2. Step 2: Convert to fraction form
   82,269/178,483.50 = 178,483.50/x
3. Step 3: Cross multiply
   82,269x = 178,483.50 × 178,483.50
4. Step 4: Simplify right side
   82,269x = 31,856,359,772.25
5. Step 5: Solve for x
   x = 31,856,359,772.25/82,269
6. Step 6: Final answer
   x = 387,221.92