Finding the Third Proportional to 72,924 and 114,248

Step by Step Solution

1. Step 1: Write the proportion equation
   72,924 : 114,248 = 114,248 : x
2. Step 2: Convert to fraction form
   72,924/114,248 = 114,248/x
3. Step 3: Cross multiply
   72,924x = 114,248 × 114,248
4. Step 4: Simplify right side
   72,924x = 13,052,605,504
5. Step 5: Solve for x
   x = 13,052,605,504/72,924
6. Step 6: Final answer
   x = 178,989.16