Finding the Third Proportional to 90,225.56 and 194,892.75

Step by Step Solution

1. Step 1: Write the proportion equation
   90,225.56 : 194,892.75 = 194,892.75 : x
2. Step 2: Convert to fraction form
   90,225.56/194,892.75 = 194,892.75/x
3. Step 3: Cross multiply
   90,225.56x = 194,892.75 × 194,892.75
4. Step 4: Simplify right side
   90,225.56x = 37,983,184,002.56
5. Step 5: Solve for x
   x = 37,983,184,002.56/90,225.56
6. Step 6: Final answer
   x = 420,980.30