Finding the Third Proportional to 78,189.50 and 170,412.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,189.50 : 170,412.50 = 170,412.50 : x
2. Step 2: Convert to fraction form
   78,189.50/170,412.50 = 170,412.50/x
3. Step 3: Cross multiply
   78,189.50x = 170,412.50 × 170,412.50
4. Step 4: Simplify right side
   78,189.50x = 29,040,420,156.25
5. Step 5: Solve for x
   x = 29,040,420,156.25/78,189.50
6. Step 6: Final answer
   x = 371,410.74