Finding the Third Proportional to 37,251 and 85,099.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,251 : 85,099.50 = 85,099.50 : x
2. Step 2: Convert to fraction form
   37,251/85,099.50 = 85,099.50/x
3. Step 3: Cross multiply
   37,251x = 85,099.50 × 85,099.50
4. Step 4: Simplify right side
   37,251x = 7,241,924,900.25
5. Step 5: Solve for x
   x = 7,241,924,900.25/37,251
6. Step 6: Final answer
   x = 194,408.87