Finding the Third Proportional to 78,766.50 and 172,843.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,766.50 : 172,843.50 = 172,843.50 : x
2. Step 2: Convert to fraction form
   78,766.50/172,843.50 = 172,843.50/x
3. Step 3: Cross multiply
   78,766.50x = 172,843.50 × 172,843.50
4. Step 4: Simplify right side
   78,766.50x = 29,874,875,492.25
5. Step 5: Solve for x
   x = 29,874,875,492.25/78,766.50
6. Step 6: Final answer
   x = 379,284.03