Finding the Third Proportional to 48,143 and 105,034

Step by Step Solution

1. Step 1: Write the proportion equation
   48,143 : 105,034 = 105,034 : x
2. Step 2: Convert to fraction form
   48,143/105,034 = 105,034/x
3. Step 3: Cross multiply
   48,143x = 105,034 × 105,034
4. Step 4: Simplify right side
   48,143x = 11,032,141,156
5. Step 5: Solve for x
   x = 11,032,141,156/48,143
6. Step 6: Final answer
   x = 229,153.59