Finding the Third Proportional to 52,807 and 109,983

Step by Step Solution

1. Step 1: Write the proportion equation
   52,807 : 109,983 = 109,983 : x
2. Step 2: Convert to fraction form
   52,807/109,983 = 109,983/x
3. Step 3: Cross multiply
   52,807x = 109,983 × 109,983
4. Step 4: Simplify right side
   52,807x = 12,096,260,289
5. Step 5: Solve for x
   x = 12,096,260,289/52,807
6. Step 6: Final answer
   x = 229,065.47