Finding the Third Proportional to 123,064.50 and 175,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,064.50 : 175,978.50 = 175,978.50 : x
2. Step 2: Convert to fraction form
   123,064.50/175,978.50 = 175,978.50/x
3. Step 3: Cross multiply
   123,064.50x = 175,978.50 × 175,978.50
4. Step 4: Simplify right side
   123,064.50x = 30,968,432,462.25
5. Step 5: Solve for x
   x = 30,968,432,462.25/123,064.50
6. Step 6: Final answer
   x = 251,643.91