Finding the Third Proportional to 116,421 and 178,014

Step by Step Solution

1. Step 1: Write the proportion equation
   116,421 : 178,014 = 178,014 : x
2. Step 2: Convert to fraction form
   116,421/178,014 = 178,014/x
3. Step 3: Cross multiply
   116,421x = 178,014 × 178,014
4. Step 4: Simplify right side
   116,421x = 31,688,984,196
5. Step 5: Solve for x
   x = 31,688,984,196/116,421
6. Step 6: Final answer
   x = 272,193.03