Finding the Third Proportional to 78,314 and 171,936.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,314 : 171,936.50 = 171,936.50 : x
2. Step 2: Convert to fraction form
   78,314/171,936.50 = 171,936.50/x
3. Step 3: Cross multiply
   78,314x = 171,936.50 × 171,936.50
4. Step 4: Simplify right side
   78,314x = 29,562,160,032.25
5. Step 5: Solve for x
   x = 29,562,160,032.25/78,314
6. Step 6: Final answer
   x = 377,482.44