Finding the Third Proportional to 78,519 and 174,453

Step by Step Solution

1. Step 1: Write the proportion equation
   78,519 : 174,453 = 174,453 : x
2. Step 2: Convert to fraction form
   78,519/174,453 = 174,453/x
3. Step 3: Cross multiply
   78,519x = 174,453 × 174,453
4. Step 4: Simplify right side
   78,519x = 30,433,849,209
5. Step 5: Solve for x
   x = 30,433,849,209/78,519
6. Step 6: Final answer
   x = 387,598.53