Finding the Third Proportional to 122,761.50 and 185,803.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,761.50 : 185,803.50 = 185,803.50 : x
2. Step 2: Convert to fraction form
   122,761.50/185,803.50 = 185,803.50/x
3. Step 3: Cross multiply
   122,761.50x = 185,803.50 × 185,803.50
4. Step 4: Simplify right side
   122,761.50x = 34,522,940,612.25
5. Step 5: Solve for x
   x = 34,522,940,612.25/122,761.50
6. Step 6: Final answer
   x = 281,219.61