Finding the Third Proportional to 116,625 and 185,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,625 : 185,662.50 = 185,662.50 : x
2. Step 2: Convert to fraction form
   116,625/185,662.50 = 185,662.50/x
3. Step 3: Cross multiply
   116,625x = 185,662.50 × 185,662.50
4. Step 4: Simplify right side
   116,625x = 34,470,563,906.25
5. Step 5: Solve for x
   x = 34,470,563,906.25/116,625
6. Step 6: Final answer
   x = 295,567.54