Finding the Third Proportional to 38,262 and 83,092.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,262 : 83,092.50 = 83,092.50 : x
2. Step 2: Convert to fraction form
   38,262/83,092.50 = 83,092.50/x
3. Step 3: Cross multiply
   38,262x = 83,092.50 × 83,092.50
4. Step 4: Simplify right side
   38,262x = 6,904,363,556.25
5. Step 5: Solve for x
   x = 6,904,363,556.25/38,262
6. Step 6: Final answer
   x = 180,449.63