Finding the Third Proportional to 82,242 and 175,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,242 : 175,567.50 = 175,567.50 : x
2. Step 2: Convert to fraction form
   82,242/175,567.50 = 175,567.50/x
3. Step 3: Cross multiply
   82,242x = 175,567.50 × 175,567.50
4. Step 4: Simplify right side
   82,242x = 30,823,947,056.25
5. Step 5: Solve for x
   x = 30,823,947,056.25/82,242
6. Step 6: Final answer
   x = 374,795.69