Finding the Third Proportional to 82,780.31 and 175,421.81

Step by Step Solution

1. Step 1: Write the proportion equation
   82,780.31 : 175,421.81 = 175,421.81 : x
2. Step 2: Convert to fraction form
   82,780.31/175,421.81 = 175,421.81/x
3. Step 3: Cross multiply
   82,780.31x = 175,421.81 × 175,421.81
4. Step 4: Simplify right side
   82,780.31x = 30,772,812,300.79
5. Step 5: Solve for x
   x = 30,772,812,300.79/82,780.31
6. Step 6: Final answer
   x = 371,740.71