Finding the Third Proportional to 53,156 and 85,648

Step by Step Solution

1. Step 1: Write the proportion equation
   53,156 : 85,648 = 85,648 : x
2. Step 2: Convert to fraction form
   53,156/85,648 = 85,648/x
3. Step 3: Cross multiply
   53,156x = 85,648 × 85,648
4. Step 4: Simplify right side
   53,156x = 7,335,579,904
5. Step 5: Solve for x
   x = 7,335,579,904/53,156
6. Step 6: Final answer
   x = 138,000.98