Finding the Third Proportional to 178,431 and 256,468.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,431 : 256,468.50 = 256,468.50 : x
2. Step 2: Convert to fraction form
   178,431/256,468.50 = 256,468.50/x
3. Step 3: Cross multiply
   178,431x = 256,468.50 × 256,468.50
4. Step 4: Simplify right side
   178,431x = 65,776,091,492.25
5. Step 5: Solve for x
   x = 65,776,091,492.25/178,431
6. Step 6: Final answer
   x = 368,636.01