Finding the Third Proportional to 78,106.50 and 174,357

Step by Step Solution

1. Step 1: Write the proportion equation
   78,106.50 : 174,357 = 174,357 : x
2. Step 2: Convert to fraction form
   78,106.50/174,357 = 174,357/x
3. Step 3: Cross multiply
   78,106.50x = 174,357 × 174,357
4. Step 4: Simplify right side
   78,106.50x = 30,400,363,449
5. Step 5: Solve for x
   x = 30,400,363,449/78,106.50
6. Step 6: Final answer
   x = 389,216.82