Finding the Third Proportional to 117,696 and 254,946.75

Step by Step Solution

1. Step 1: Write the proportion equation
   117,696 : 254,946.75 = 254,946.75 : x
2. Step 2: Convert to fraction form
   117,696/254,946.75 = 254,946.75/x
3. Step 3: Cross multiply
   117,696x = 254,946.75 × 254,946.75
4. Step 4: Simplify right side
   117,696x = 64,997,845,335.56
5. Step 5: Solve for x
   x = 64,997,845,335.56/117,696
6. Step 6: Final answer
   x = 552,251.95