Finding the Third Proportional to 78,357 and 171,736.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,357 : 171,736.50 = 171,736.50 : x
2. Step 2: Convert to fraction form
   78,357/171,736.50 = 171,736.50/x
3. Step 3: Cross multiply
   78,357x = 171,736.50 × 171,736.50
4. Step 4: Simplify right side
   78,357x = 29,493,425,432.25
5. Step 5: Solve for x
   x = 29,493,425,432.25/78,357
6. Step 6: Final answer
   x = 376,398.09