Finding the Third Proportional to 82,743.19 and 178,606.69

Step by Step Solution

1. Step 1: Write the proportion equation
   82,743.19 : 178,606.69 = 178,606.69 : x
2. Step 2: Convert to fraction form
   82,743.19/178,606.69 = 178,606.69/x
3. Step 3: Cross multiply
   82,743.19x = 178,606.69 × 178,606.69
4. Step 4: Simplify right side
   82,743.19x = 31,900,348,819.72
5. Step 5: Solve for x
   x = 31,900,348,819.72/82,743.19
6. Step 6: Final answer
   x = 385,534.44