Finding the Third Proportional to 89,242.50 and 194,037

Step by Step Solution

1. Step 1: Write the proportion equation
   89,242.50 : 194,037 = 194,037 : x
2. Step 2: Convert to fraction form
   89,242.50/194,037 = 194,037/x
3. Step 3: Cross multiply
   89,242.50x = 194,037 × 194,037
4. Step 4: Simplify right side
   89,242.50x = 37,650,357,369
5. Step 5: Solve for x
   x = 37,650,357,369/89,242.50
6. Step 6: Final answer
   x = 421,888.20