Finding the Third Proportional to 52,924 and 114,158

Step by Step Solution

1. Step 1: Write the proportion equation
   52,924 : 114,158 = 114,158 : x
2. Step 2: Convert to fraction form
   52,924/114,158 = 114,158/x
3. Step 3: Cross multiply
   52,924x = 114,158 × 114,158
4. Step 4: Simplify right side
   52,924x = 13,032,048,964
5. Step 5: Solve for x
   x = 13,032,048,964/52,924
6. Step 6: Final answer
   x = 246,240.82