Finding the Third Proportional to 52,160 and 114,685

Step by Step Solution

1. Step 1: Write the proportion equation
   52,160 : 114,685 = 114,685 : x
2. Step 2: Convert to fraction form
   52,160/114,685 = 114,685/x
3. Step 3: Cross multiply
   52,160x = 114,685 × 114,685
4. Step 4: Simplify right side
   52,160x = 13,152,649,225
5. Step 5: Solve for x
   x = 13,152,649,225/52,160
6. Step 6: Final answer
   x = 252,159.69