Finding the Third Proportional to 122,441.81 and 185,510.63

Step by Step Solution

1. Step 1: Write the proportion equation
   122,441.81 : 185,510.63 = 185,510.63 : x
2. Step 2: Convert to fraction form
   122,441.81/185,510.63 = 185,510.63/x
3. Step 3: Cross multiply
   122,441.81x = 185,510.63 × 185,510.63
4. Step 4: Simplify right side
   122,441.81x = 34,414,191,987.89
5. Step 5: Solve for x
   x = 34,414,191,987.89/122,441.81
6. Step 6: Final answer
   x = 281,065.69