Finding the Third Proportional to 122,185 and 178,903.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,185 : 178,903.50 = 178,903.50 : x
2. Step 2: Convert to fraction form
   122,185/178,903.50 = 178,903.50/x
3. Step 3: Cross multiply
   122,185x = 178,903.50 × 178,903.50
4. Step 4: Simplify right side
   122,185x = 32,006,462,312.25
5. Step 5: Solve for x
   x = 32,006,462,312.25/122,185
6. Step 6: Final answer
   x = 261,950.83