Finding the Third Proportional to 87,526.50 and 178,266

Step by Step Solution

1. Step 1: Write the proportion equation
   87,526.50 : 178,266 = 178,266 : x
2. Step 2: Convert to fraction form
   87,526.50/178,266 = 178,266/x
3. Step 3: Cross multiply
   87,526.50x = 178,266 × 178,266
4. Step 4: Simplify right side
   87,526.50x = 31,778,766,756
5. Step 5: Solve for x
   x = 31,778,766,756/87,526.50
6. Step 6: Final answer
   x = 363,075.95