Finding the Third Proportional to 78,111 and 174,366

Step by Step Solution

1. Step 1: Write the proportion equation
   78,111 : 174,366 = 174,366 : x
2. Step 2: Convert to fraction form
   78,111/174,366 = 174,366/x
3. Step 3: Cross multiply
   78,111x = 174,366 × 174,366
4. Step 4: Simplify right side
   78,111x = 30,403,501,956
5. Step 5: Solve for x
   x = 30,403,501,956/78,111
6. Step 6: Final answer
   x = 389,234.58