Finding the Third Proportional to 76,362.50 and 167,780

Step by Step Solution

1. Step 1: Write the proportion equation
   76,362.50 : 167,780 = 167,780 : x
2. Step 2: Convert to fraction form
   76,362.50/167,780 = 167,780/x
3. Step 3: Cross multiply
   76,362.50x = 167,780 × 167,780
4. Step 4: Simplify right side
   76,362.50x = 28,150,128,400
5. Step 5: Solve for x
   x = 28,150,128,400/76,362.50
6. Step 6: Final answer
   x = 368,638.12