Finding the Third Proportional to 114,091.50 and 177,585

Step by Step Solution

1. Step 1: Write the proportion equation
   114,091.50 : 177,585 = 177,585 : x
2. Step 2: Convert to fraction form
   114,091.50/177,585 = 177,585/x
3. Step 3: Cross multiply
   114,091.50x = 177,585 × 177,585
4. Step 4: Simplify right side
   114,091.50x = 31,536,432,225
5. Step 5: Solve for x
   x = 31,536,432,225/114,091.50
6. Step 6: Final answer
   x = 276,413.51