Finding the Third Proportional to 116,640 and 254,340

Step by Step Solution

1. Step 1: Write the proportion equation
   116,640 : 254,340 = 254,340 : x
2. Step 2: Convert to fraction form
   116,640/254,340 = 254,340/x
3. Step 3: Cross multiply
   116,640x = 254,340 × 254,340
4. Step 4: Simplify right side
   116,640x = 64,688,835,600
5. Step 5: Solve for x
   x = 64,688,835,600/116,640
6. Step 6: Final answer
   x = 554,602.50