Finding the Third Proportional to 83,650 and 113,484

Step by Step Solution

1. Step 1: Write the proportion equation
   83,650 : 113,484 = 113,484 : x
2. Step 2: Convert to fraction form
   83,650/113,484 = 113,484/x
3. Step 3: Cross multiply
   83,650x = 113,484 × 113,484
4. Step 4: Simplify right side
   83,650x = 12,878,618,256
5. Step 5: Solve for x
   x = 12,878,618,256/83,650
6. Step 6: Final answer
   x = 153,958.38