Finding the Third Proportional to 98,259.75 and 230,978.25

Step by Step Solution

1. Step 1: Write the proportion equation
   98,259.75 : 230,978.25 = 230,978.25 : x
2. Step 2: Convert to fraction form
   98,259.75/230,978.25 = 230,978.25/x
3. Step 3: Cross multiply
   98,259.75x = 230,978.25 × 230,978.25
4. Step 4: Simplify right side
   98,259.75x = 53,350,951,973.06
5. Step 5: Solve for x
   x = 53,350,951,973.06/98,259.75
6. Step 6: Final answer
   x = 542,958.35