Finding the Third Proportional to 57,658 and 90,258

Step by Step Solution

1. Step 1: Write the proportion equation
   57,658 : 90,258 = 90,258 : x
2. Step 2: Convert to fraction form
   57,658/90,258 = 90,258/x
3. Step 3: Cross multiply
   57,658x = 90,258 × 90,258
4. Step 4: Simplify right side
   57,658x = 8,146,506,564
5. Step 5: Solve for x
   x = 8,146,506,564/57,658
6. Step 6: Final answer
   x = 141,290.13