Finding the Third Proportional to 117,465 and 178,951.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,465 : 178,951.50 = 178,951.50 : x
2. Step 2: Convert to fraction form
   117,465/178,951.50 = 178,951.50/x
3. Step 3: Cross multiply
   117,465x = 178,951.50 × 178,951.50
4. Step 4: Simplify right side
   117,465x = 32,023,639,352.25
5. Step 5: Solve for x
   x = 32,023,639,352.25/117,465
6. Step 6: Final answer
   x = 272,622.82