Finding the Third Proportional to 79,885.50 and 174,534

Step by Step Solution

1. Step 1: Write the proportion equation
   79,885.50 : 174,534 = 174,534 : x
2. Step 2: Convert to fraction form
   79,885.50/174,534 = 174,534/x
3. Step 3: Cross multiply
   79,885.50x = 174,534 × 174,534
4. Step 4: Simplify right side
   79,885.50x = 30,462,117,156
5. Step 5: Solve for x
   x = 30,462,117,156/79,885.50
6. Step 6: Final answer
   x = 381,322.23