Finding the Third Proportional to 40,680 and 90,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,680 : 90,697.50 = 90,697.50 : x
2. Step 2: Convert to fraction form
   40,680/90,697.50 = 90,697.50/x
3. Step 3: Cross multiply
   40,680x = 90,697.50 × 90,697.50
4. Step 4: Simplify right side
   40,680x = 8,226,036,506.25
5. Step 5: Solve for x
   x = 8,226,036,506.25/40,680
6. Step 6: Final answer
   x = 202,213.29