Finding the Third Proportional to 77,878.50 and 173,280

Step by Step Solution

1. Step 1: Write the proportion equation
   77,878.50 : 173,280 = 173,280 : x
2. Step 2: Convert to fraction form
   77,878.50/173,280 = 173,280/x
3. Step 3: Cross multiply
   77,878.50x = 173,280 × 173,280
4. Step 4: Simplify right side
   77,878.50x = 30,025,958,400
5. Step 5: Solve for x
   x = 30,025,958,400/77,878.50
6. Step 6: Final answer
   x = 385,548.75