Finding the Third Proportional to 78,525 and 171,715.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,525 : 171,715.50 = 171,715.50 : x
2. Step 2: Convert to fraction form
   78,525/171,715.50 = 171,715.50/x
3. Step 3: Cross multiply
   78,525x = 171,715.50 × 171,715.50
4. Step 4: Simplify right side
   78,525x = 29,486,212,940.25
5. Step 5: Solve for x
   x = 29,486,212,940.25/78,525
6. Step 6: Final answer
   x = 375,500.96