Finding the Third Proportional to 121,806 and 182,092.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,806 : 182,092.50 = 182,092.50 : x
2. Step 2: Convert to fraction form
   121,806/182,092.50 = 182,092.50/x
3. Step 3: Cross multiply
   121,806x = 182,092.50 × 182,092.50
4. Step 4: Simplify right side
   121,806x = 33,157,678,556.25
5. Step 5: Solve for x
   x = 33,157,678,556.25/121,806
6. Step 6: Final answer
   x = 272,217.12