Finding the Third Proportional to 53,280 and 114,870

Step by Step Solution

1. Step 1: Write the proportion equation
   53,280 : 114,870 = 114,870 : x
2. Step 2: Convert to fraction form
   53,280/114,870 = 114,870/x
3. Step 3: Cross multiply
   53,280x = 114,870 × 114,870
4. Step 4: Simplify right side
   53,280x = 13,195,116,900
5. Step 5: Solve for x
   x = 13,195,116,900/53,280
6. Step 6: Final answer
   x = 247,656.10