Finding the Third Proportional to 89,352 and 178,695

Step by Step Solution

1. Step 1: Write the proportion equation
   89,352 : 178,695 = 178,695 : x
2. Step 2: Convert to fraction form
   89,352/178,695 = 178,695/x
3. Step 3: Cross multiply
   89,352x = 178,695 × 178,695
4. Step 4: Simplify right side
   89,352x = 31,931,903,025
5. Step 5: Solve for x
   x = 31,931,903,025/89,352
6. Step 6: Final answer
   x = 357,372.00