Finding the Third Proportional to 78,477.50 and 174,390.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,477.50 : 174,390.50 = 174,390.50 : x
2. Step 2: Convert to fraction form
   78,477.50/174,390.50 = 174,390.50/x
3. Step 3: Cross multiply
   78,477.50x = 174,390.50 × 174,390.50
4. Step 4: Simplify right side
   78,477.50x = 30,412,046,490.25
5. Step 5: Solve for x
   x = 30,412,046,490.25/78,477.50
6. Step 6: Final answer
   x = 387,525.68