Finding the Third Proportional to 182,758.50 and 274,140

Step by Step Solution

1. Step 1: Write the proportion equation
   182,758.50 : 274,140 = 274,140 : x
2. Step 2: Convert to fraction form
   182,758.50/274,140 = 274,140/x
3. Step 3: Cross multiply
   182,758.50x = 274,140 × 274,140
4. Step 4: Simplify right side
   182,758.50x = 75,152,739,600
5. Step 5: Solve for x
   x = 75,152,739,600/182,758.50
6. Step 6: Final answer
   x = 411,213.38