Finding the Third Proportional to 39,123 and 85,225.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,123 : 85,225.50 = 85,225.50 : x
2. Step 2: Convert to fraction form
   39,123/85,225.50 = 85,225.50/x
3. Step 3: Cross multiply
   39,123x = 85,225.50 × 85,225.50
4. Step 4: Simplify right side
   39,123x = 7,263,385,850.25
5. Step 5: Solve for x
   x = 7,263,385,850.25/39,123
6. Step 6: Final answer
   x = 185,655.14