Finding the Third Proportional to 82,620 and 178,375.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,620 : 178,375.50 = 178,375.50 : x
2. Step 2: Convert to fraction form
   82,620/178,375.50 = 178,375.50/x
3. Step 3: Cross multiply
   82,620x = 178,375.50 × 178,375.50
4. Step 4: Simplify right side
   82,620x = 31,817,819,000.25
5. Step 5: Solve for x
   x = 31,817,819,000.25/82,620
6. Step 6: Final answer
   x = 385,110.37