Finding the Third Proportional to 82,023.75 and 178,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,023.75 : 178,870.50 = 178,870.50 : x
2. Step 2: Convert to fraction form
   82,023.75/178,870.50 = 178,870.50/x
3. Step 3: Cross multiply
   82,023.75x = 178,870.50 × 178,870.50
4. Step 4: Simplify right side
   82,023.75x = 31,994,655,770.25
5. Step 5: Solve for x
   x = 31,994,655,770.25/82,023.75
6. Step 6: Final answer
   x = 390,065.75