Finding the Third Proportional to 117,397.50 and 178,339.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,397.50 : 178,339.50 = 178,339.50 : x
2. Step 2: Convert to fraction form
   117,397.50/178,339.50 = 178,339.50/x
3. Step 3: Cross multiply
   117,397.50x = 178,339.50 × 178,339.50
4. Step 4: Simplify right side
   117,397.50x = 31,804,977,260.25
5. Step 5: Solve for x
   x = 31,804,977,260.25/117,397.50
6. Step 6: Final answer
   x = 270,916.99