Finding the Third Proportional to 78,822 and 175,140

Step by Step Solution

1. Step 1: Write the proportion equation
   78,822 : 175,140 = 175,140 : x
2. Step 2: Convert to fraction form
   78,822/175,140 = 175,140/x
3. Step 3: Cross multiply
   78,822x = 175,140 × 175,140
4. Step 4: Simplify right side
   78,822x = 30,674,019,600
5. Step 5: Solve for x
   x = 30,674,019,600/78,822
6. Step 6: Final answer
   x = 389,155.56