Finding the Third Proportional to 78,187.50 and 171,598.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,187.50 : 171,598.50 = 171,598.50 : x
2. Step 2: Convert to fraction form
   78,187.50/171,598.50 = 171,598.50/x
3. Step 3: Cross multiply
   78,187.50x = 171,598.50 × 171,598.50
4. Step 4: Simplify right side
   78,187.50x = 29,446,045,202.25
5. Step 5: Solve for x
   x = 29,446,045,202.25/78,187.50
6. Step 6: Final answer
   x = 376,608.09