Finding the Third Proportional to 82,914 and 177,655.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,914 : 177,655.50 = 177,655.50 : x
2. Step 2: Convert to fraction form
   82,914/177,655.50 = 177,655.50/x
3. Step 3: Cross multiply
   82,914x = 177,655.50 × 177,655.50
4. Step 4: Simplify right side
   82,914x = 31,561,476,680.25
5. Step 5: Solve for x
   x = 31,561,476,680.25/82,914
6. Step 6: Final answer
   x = 380,653.17