Finding the Third Proportional to 82,742.25 and 178,603.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,742.25 : 178,603.50 = 178,603.50 : x
2. Step 2: Convert to fraction form
   82,742.25/178,603.50 = 178,603.50/x
3. Step 3: Cross multiply
   82,742.25x = 178,603.50 × 178,603.50
4. Step 4: Simplify right side
   82,742.25x = 31,899,210,212.25
5. Step 5: Solve for x
   x = 31,899,210,212.25/82,742.25
6. Step 6: Final answer
   x = 385,525.05