Finding the Third Proportional to 118,840 and 178,285.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,840 : 178,285.50 = 178,285.50 : x
2. Step 2: Convert to fraction form
   118,840/178,285.50 = 178,285.50/x
3. Step 3: Cross multiply
   118,840x = 178,285.50 × 178,285.50
4. Step 4: Simplify right side
   118,840x = 31,785,719,510.25
5. Step 5: Solve for x
   x = 31,785,719,510.25/118,840
6. Step 6: Final answer
   x = 267,466.51