Finding the Third Proportional to 78,533 and 174,490

Step by Step Solution

1. Step 1: Write the proportion equation
   78,533 : 174,490 = 174,490 : x
2. Step 2: Convert to fraction form
   78,533/174,490 = 174,490/x
3. Step 3: Cross multiply
   78,533x = 174,490 × 174,490
4. Step 4: Simplify right side
   78,533x = 30,446,760,100
5. Step 5: Solve for x
   x = 30,446,760,100/78,533
6. Step 6: Final answer
   x = 387,693.84