Finding the Third Proportional to 82,742.63 and 178,603.88

Step by Step Solution

1. Step 1: Write the proportion equation
   82,742.63 : 178,603.88 = 178,603.88 : x
2. Step 2: Convert to fraction form
   82,742.63/178,603.88 = 178,603.88/x
3. Step 3: Cross multiply
   82,742.63x = 178,603.88 × 178,603.88
4. Step 4: Simplify right side
   82,742.63x = 31,899,344,165.02
5. Step 5: Solve for x
   x = 31,899,344,165.02/82,742.63
6. Step 6: Final answer
   x = 385,524.92