Finding the Third Proportional to 56,848.50 and 123,782.06

Step by Step Solution

1. Step 1: Write the proportion equation
   56,848.50 : 123,782.06 = 123,782.06 : x
2. Step 2: Convert to fraction form
   56,848.50/123,782.06 = 123,782.06/x
3. Step 3: Cross multiply
   56,848.50x = 123,782.06 × 123,782.06
4. Step 4: Simplify right side
   56,848.50x = 15,321,998,996.75
5. Step 5: Solve for x
   x = 15,321,998,996.75/56,848.50
6. Step 6: Final answer
   x = 269,523.36