Finding the Third Proportional to 53,076 and 116,358

Step by Step Solution

1. Step 1: Write the proportion equation
   53,076 : 116,358 = 116,358 : x
2. Step 2: Convert to fraction form
   53,076/116,358 = 116,358/x
3. Step 3: Cross multiply
   53,076x = 116,358 × 116,358
4. Step 4: Simplify right side
   53,076x = 13,539,184,164
5. Step 5: Solve for x
   x = 13,539,184,164/53,076
6. Step 6: Final answer
   x = 255,090.51