Finding the Third Proportional to 53,064 and 114,416

Step by Step Solution

1. Step 1: Write the proportion equation
   53,064 : 114,416 = 114,416 : x
2. Step 2: Convert to fraction form
   53,064/114,416 = 114,416/x
3. Step 3: Cross multiply
   53,064x = 114,416 × 114,416
4. Step 4: Simplify right side
   53,064x = 13,091,021,056
5. Step 5: Solve for x
   x = 13,091,021,056/53,064
6. Step 6: Final answer
   x = 246,702.49