Finding the Third Proportional to 78,968 and 175,432

Step by Step Solution

1. Step 1: Write the proportion equation
   78,968 : 175,432 = 175,432 : x
2. Step 2: Convert to fraction form
   78,968/175,432 = 175,432/x
3. Step 3: Cross multiply
   78,968x = 175,432 × 175,432
4. Step 4: Simplify right side
   78,968x = 30,776,386,624
5. Step 5: Solve for x
   x = 30,776,386,624/78,968
6. Step 6: Final answer
   x = 389,732.38