Finding the Third Proportional to 56,506 and 89,458

Step by Step Solution

1. Step 1: Write the proportion equation
   56,506 : 89,458 = 89,458 : x
2. Step 2: Convert to fraction form
   56,506/89,458 = 89,458/x
3. Step 3: Cross multiply
   56,506x = 89,458 × 89,458
4. Step 4: Simplify right side
   56,506x = 8,002,733,764
5. Step 5: Solve for x
   x = 8,002,733,764/56,506
6. Step 6: Final answer
   x = 141,626.27