Finding the Third Proportional to 56,564 and 121,870

Step by Step Solution

1. Step 1: Write the proportion equation
   56,564 : 121,870 = 121,870 : x
2. Step 2: Convert to fraction form
   56,564/121,870 = 121,870/x
3. Step 3: Cross multiply
   56,564x = 121,870 × 121,870
4. Step 4: Simplify right side
   56,564x = 14,852,296,900
5. Step 5: Solve for x
   x = 14,852,296,900/56,564
6. Step 6: Final answer
   x = 262,575.08