Finding the Third Proportional to 78,385.50 and 171,495

Step by Step Solution

1. Step 1: Write the proportion equation
   78,385.50 : 171,495 = 171,495 : x
2. Step 2: Convert to fraction form
   78,385.50/171,495 = 171,495/x
3. Step 3: Cross multiply
   78,385.50x = 171,495 × 171,495
4. Step 4: Simplify right side
   78,385.50x = 29,410,535,025
5. Step 5: Solve for x
   x = 29,410,535,025/78,385.50
6. Step 6: Final answer
   x = 375,203.77