Finding the Third Proportional to 79,767 and 174,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   79,767 : 174,022.50 = 174,022.50 : x
2. Step 2: Convert to fraction form
   79,767/174,022.50 = 174,022.50/x
3. Step 3: Cross multiply
   79,767x = 174,022.50 × 174,022.50
4. Step 4: Simplify right side
   79,767x = 30,283,830,506.25
5. Step 5: Solve for x
   x = 30,283,830,506.25/79,767
6. Step 6: Final answer
   x = 379,653.62