Finding the Third Proportional to 78,453 and 172,741.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,453 : 172,741.50 = 172,741.50 : x
2. Step 2: Convert to fraction form
   78,453/172,741.50 = 172,741.50/x
3. Step 3: Cross multiply
   78,453x = 172,741.50 × 172,741.50
4. Step 4: Simplify right side
   78,453x = 29,839,625,822.25
5. Step 5: Solve for x
   x = 29,839,625,822.25/78,453
6. Step 6: Final answer
   x = 380,350.35