Finding the Third Proportional to 78,972 and 174,552

Step by Step Solution

1. Step 1: Write the proportion equation
   78,972 : 174,552 = 174,552 : x
2. Step 2: Convert to fraction form
   78,972/174,552 = 174,552/x
3. Step 3: Cross multiply
   78,972x = 174,552 × 174,552
4. Step 4: Simplify right side
   78,972x = 30,468,400,704
5. Step 5: Solve for x
   x = 30,468,400,704/78,972
6. Step 6: Final answer
   x = 385,812.70