Finding the Third Proportional to 82,088.25 and 174,060.75

Step by Step Solution

1. Step 1: Write the proportion equation
   82,088.25 : 174,060.75 = 174,060.75 : x
2. Step 2: Convert to fraction form
   82,088.25/174,060.75 = 174,060.75/x
3. Step 3: Cross multiply
   82,088.25x = 174,060.75 × 174,060.75
4. Step 4: Simplify right side
   82,088.25x = 30,297,144,690.56
5. Step 5: Solve for x
   x = 30,297,144,690.56/82,088.25
6. Step 6: Final answer
   x = 369,080.16