Finding the Third Proportional to 91,741 and 140,346

Step by Step Solution

1. Step 1: Write the proportion equation
   91,741 : 140,346 = 140,346 : x
2. Step 2: Convert to fraction form
   91,741/140,346 = 140,346/x
3. Step 3: Cross multiply
   91,741x = 140,346 × 140,346
4. Step 4: Simplify right side
   91,741x = 19,696,999,716
5. Step 5: Solve for x
   x = 19,696,999,716/91,741
6. Step 6: Final answer
   x = 214,702.26