Finding the Third Proportional to 78,635.25 and 171,094.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,635.25 : 171,094.50 = 171,094.50 : x
2. Step 2: Convert to fraction form
   78,635.25/171,094.50 = 171,094.50/x
3. Step 3: Cross multiply
   78,635.25x = 171,094.50 × 171,094.50
4. Step 4: Simplify right side
   78,635.25x = 29,273,327,930.25
5. Step 5: Solve for x
   x = 29,273,327,930.25/78,635.25
6. Step 6: Final answer
   x = 372,267.25