Finding the Third Proportional to 114,888 and 243,664

Step by Step Solution

1. Step 1: Write the proportion equation
   114,888 : 243,664 = 243,664 : x
2. Step 2: Convert to fraction form
   114,888/243,664 = 243,664/x
3. Step 3: Cross multiply
   114,888x = 243,664 × 243,664
4. Step 4: Simplify right side
   114,888x = 59,372,144,896
5. Step 5: Solve for x
   x = 59,372,144,896/114,888
6. Step 6: Final answer
   x = 516,782.82