Finding the Third Proportional to 89,139.75 and 195,773.25

Step by Step Solution

1. Step 1: Write the proportion equation
   89,139.75 : 195,773.25 = 195,773.25 : x
2. Step 2: Convert to fraction form
   89,139.75/195,773.25 = 195,773.25/x
3. Step 3: Cross multiply
   89,139.75x = 195,773.25 × 195,773.25
4. Step 4: Simplify right side
   89,139.75x = 38,327,165,415.56
5. Step 5: Solve for x
   x = 38,327,165,415.56/89,139.75
6. Step 6: Final answer
   x = 429,967.16