Finding the Third Proportional to 53,029 and 114,360

Step by Step Solution

1. Step 1: Write the proportion equation
   53,029 : 114,360 = 114,360 : x
2. Step 2: Convert to fraction form
   53,029/114,360 = 114,360/x
3. Step 3: Cross multiply
   53,029x = 114,360 × 114,360
4. Step 4: Simplify right side
   53,029x = 13,078,209,600
5. Step 5: Solve for x
   x = 13,078,209,600/53,029
6. Step 6: Final answer
   x = 246,623.73