Finding the Third Proportional to 51,581 and 112,882

Step by Step Solution

1. Step 1: Write the proportion equation
   51,581 : 112,882 = 112,882 : x
2. Step 2: Convert to fraction form
   51,581/112,882 = 112,882/x
3. Step 3: Cross multiply
   51,581x = 112,882 × 112,882
4. Step 4: Simplify right side
   51,581x = 12,742,345,924
5. Step 5: Solve for x
   x = 12,742,345,924/51,581
6. Step 6: Final answer
   x = 247,035.65