Finding the Third Proportional to 117,617 and 254,673.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,617 : 254,673.50 = 254,673.50 : x
2. Step 2: Convert to fraction form
   117,617/254,673.50 = 254,673.50/x
3. Step 3: Cross multiply
   117,617x = 254,673.50 × 254,673.50
4. Step 4: Simplify right side
   117,617x = 64,858,591,602.25
5. Step 5: Solve for x
   x = 64,858,591,602.25/117,617
6. Step 6: Final answer
   x = 551,438.92