Finding the Third Proportional to 39,092 and 85,352.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,092 : 85,352.50 = 85,352.50 : x
2. Step 2: Convert to fraction form
   39,092/85,352.50 = 85,352.50/x
3. Step 3: Cross multiply
   39,092x = 85,352.50 × 85,352.50
4. Step 4: Simplify right side
   39,092x = 7,285,049,256.25
5. Step 5: Solve for x
   x = 7,285,049,256.25/39,092
6. Step 6: Final answer
   x = 186,356.52