Finding the Third Proportional to 117,688.50 and 174,246

Step by Step Solution

1. Step 1: Write the proportion equation
   117,688.50 : 174,246 = 174,246 : x
2. Step 2: Convert to fraction form
   117,688.50/174,246 = 174,246/x
3. Step 3: Cross multiply
   117,688.50x = 174,246 × 174,246
4. Step 4: Simplify right side
   117,688.50x = 30,361,668,516
5. Step 5: Solve for x
   x = 30,361,668,516/117,688.50
6. Step 6: Final answer
   x = 257,983.31