Finding the Third Proportional to 91,738 and 145,946

Step by Step Solution

1. Step 1: Write the proportion equation
   91,738 : 145,946 = 145,946 : x
2. Step 2: Convert to fraction form
   91,738/145,946 = 145,946/x
3. Step 3: Cross multiply
   91,738x = 145,946 × 145,946
4. Step 4: Simplify right side
   91,738x = 21,300,234,916
5. Step 5: Solve for x
   x = 21,300,234,916/91,738
6. Step 6: Final answer
   x = 232,185.52