Finding the Third Proportional to 40,902.33 and 85,510.27

Step by Step Solution

1. Step 1: Write the proportion equation
   40,902.33 : 85,510.27 = 85,510.27 : x
2. Step 2: Convert to fraction form
   40,902.33/85,510.27 = 85,510.27/x
3. Step 3: Cross multiply
   40,902.33x = 85,510.27 × 85,510.27
4. Step 4: Simplify right side
   40,902.33x = 7,312,005,527.26
5. Step 5: Solve for x
   x = 7,312,005,527.26/40,902.33
6. Step 6: Final answer
   x = 178,767.47