Finding the Third Proportional to 72,275 and 109,431

Step by Step Solution

1. Step 1: Write the proportion equation
   72,275 : 109,431 = 109,431 : x
2. Step 2: Convert to fraction form
   72,275/109,431 = 109,431/x
3. Step 3: Cross multiply
   72,275x = 109,431 × 109,431
4. Step 4: Simplify right side
   72,275x = 11,975,143,761
5. Step 5: Solve for x
   x = 11,975,143,761/72,275
6. Step 6: Final answer
   x = 165,688.60