Finding the Third Proportional to 82,368 and 178,774.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,368 : 178,774.50 = 178,774.50 : x
2. Step 2: Convert to fraction form
   82,368/178,774.50 = 178,774.50/x
3. Step 3: Cross multiply
   82,368x = 178,774.50 × 178,774.50
4. Step 4: Simplify right side
   82,368x = 31,960,321,850.25
5. Step 5: Solve for x
   x = 31,960,321,850.25/82,368
6. Step 6: Final answer
   x = 388,018.67