Finding the Third Proportional to 105,094 and 233,516

Step by Step Solution

1. Step 1: Write the proportion equation
   105,094 : 233,516 = 233,516 : x
2. Step 2: Convert to fraction form
   105,094/233,516 = 233,516/x
3. Step 3: Cross multiply
   105,094x = 233,516 × 233,516
4. Step 4: Simplify right side
   105,094x = 54,529,722,256
5. Step 5: Solve for x
   x = 54,529,722,256/105,094
6. Step 6: Final answer
   x = 518,866.18