Finding the Third Proportional to 58,268 and 89,527

Step by Step Solution

1. Step 1: Write the proportion equation
   58,268 : 89,527 = 89,527 : x
2. Step 2: Convert to fraction form
   58,268/89,527 = 89,527/x
3. Step 3: Cross multiply
   58,268x = 89,527 × 89,527
4. Step 4: Simplify right side
   58,268x = 8,015,083,729
5. Step 5: Solve for x
   x = 8,015,083,729/58,268
6. Step 6: Final answer
   x = 137,555.50