Finding the Third Proportional to 114,924 and 243,096

Step by Step Solution

1. Step 1: Write the proportion equation
   114,924 : 243,096 = 243,096 : x
2. Step 2: Convert to fraction form
   114,924/243,096 = 243,096/x
3. Step 3: Cross multiply
   114,924x = 243,096 × 243,096
4. Step 4: Simplify right side
   114,924x = 59,095,665,216
5. Step 5: Solve for x
   x = 59,095,665,216/114,924
6. Step 6: Final answer
   x = 514,215.18