Finding the Third Proportional to 82,781.16 and 175,424.06

Step by Step Solution

1. Step 1: Write the proportion equation
   82,781.16 : 175,424.06 = 175,424.06 : x
2. Step 2: Convert to fraction form
   82,781.16/175,424.06 = 175,424.06/x
3. Step 3: Cross multiply
   82,781.16x = 175,424.06 × 175,424.06
4. Step 4: Simplify right side
   82,781.16x = 30,773,601,704.00
5. Step 5: Solve for x
   x = 30,773,601,704.00/82,781.16
6. Step 6: Final answer
   x = 371,746.46