Finding the Third Proportional to 53,060 and 114,385

Step by Step Solution

1. Step 1: Write the proportion equation
   53,060 : 114,385 = 114,385 : x
2. Step 2: Convert to fraction form
   53,060/114,385 = 114,385/x
3. Step 3: Cross multiply
   53,060x = 114,385 × 114,385
4. Step 4: Simplify right side
   53,060x = 13,083,928,225
5. Step 5: Solve for x
   x = 13,083,928,225/53,060
6. Step 6: Final answer
   x = 246,587.41