Finding the Third Proportional to 118,238.50 and 178,585

Step by Step Solution

1. Step 1: Write the proportion equation
   118,238.50 : 178,585 = 178,585 : x
2. Step 2: Convert to fraction form
   118,238.50/178,585 = 178,585/x
3. Step 3: Cross multiply
   118,238.50x = 178,585 × 178,585
4. Step 4: Simplify right side
   118,238.50x = 31,892,602,225
5. Step 5: Solve for x
   x = 31,892,602,225/118,238.50
6. Step 6: Final answer
   x = 269,731.11