Finding the Third Proportional to 182,745 and 274,117.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,745 : 274,117.50 = 274,117.50 : x
2. Step 2: Convert to fraction form
   182,745/274,117.50 = 274,117.50/x
3. Step 3: Cross multiply
   182,745x = 274,117.50 × 274,117.50
4. Step 4: Simplify right side
   182,745x = 75,140,403,806.25
5. Step 5: Solve for x
   x = 75,140,403,806.25/182,745
6. Step 6: Final answer
   x = 411,176.25