Finding the Third Proportional to 39,597 and 85,384.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,597 : 85,384.50 = 85,384.50 : x
2. Step 2: Convert to fraction form
   39,597/85,384.50 = 85,384.50/x
3. Step 3: Cross multiply
   39,597x = 85,384.50 × 85,384.50
4. Step 4: Simplify right side
   39,597x = 7,290,512,840.25
5. Step 5: Solve for x
   x = 7,290,512,840.25/39,597
6. Step 6: Final answer
   x = 184,117.81