Finding the Third Proportional to 114,880 and 171,632

Step by Step Solution

1. Step 1: Write the proportion equation
   114,880 : 171,632 = 171,632 : x
2. Step 2: Convert to fraction form
   114,880/171,632 = 171,632/x
3. Step 3: Cross multiply
   114,880x = 171,632 × 171,632
4. Step 4: Simplify right side
   114,880x = 29,457,543,424
5. Step 5: Solve for x
   x = 29,457,543,424/114,880
6. Step 6: Final answer
   x = 256,420.12