Finding the Third Proportional to 89,967 and 193,773.75

Step by Step Solution

1. Step 1: Write the proportion equation
   89,967 : 193,773.75 = 193,773.75 : x
2. Step 2: Convert to fraction form
   89,967/193,773.75 = 193,773.75/x
3. Step 3: Cross multiply
   89,967x = 193,773.75 × 193,773.75
4. Step 4: Simplify right side
   89,967x = 37,548,266,189.06
5. Step 5: Solve for x
   x = 37,548,266,189.06/89,967
6. Step 6: Final answer
   x = 417,355.99