Finding the Third Proportional to 83,076 and 180,049.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,076 : 180,049.50 = 180,049.50 : x
2. Step 2: Convert to fraction form
   83,076/180,049.50 = 180,049.50/x
3. Step 3: Cross multiply
   83,076x = 180,049.50 × 180,049.50
4. Step 4: Simplify right side
   83,076x = 32,417,822,450.25
5. Step 5: Solve for x
   x = 32,417,822,450.25/83,076
6. Step 6: Final answer
   x = 390,218.87