Finding the Third Proportional to 91,446 and 137,168

Step by Step Solution

1. Step 1: Write the proportion equation
   91,446 : 137,168 = 137,168 : x
2. Step 2: Convert to fraction form
   91,446/137,168 = 137,168/x
3. Step 3: Cross multiply
   91,446x = 137,168 × 137,168
4. Step 4: Simplify right side
   91,446x = 18,815,060,224
5. Step 5: Solve for x
   x = 18,815,060,224/91,446
6. Step 6: Final answer
   x = 205,750.50