Finding the Third Proportional to 90,480 and 178,688.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,480 : 178,688.50 = 178,688.50 : x
2. Step 2: Convert to fraction form
   90,480/178,688.50 = 178,688.50/x
3. Step 3: Cross multiply
   90,480x = 178,688.50 × 178,688.50
4. Step 4: Simplify right side
   90,480x = 31,929,580,032.25
5. Step 5: Solve for x
   x = 31,929,580,032.25/90,480
6. Step 6: Final answer
   x = 352,891.03