Finding the Third Proportional to 40,460 and 88,696

Step by Step Solution

1. Step 1: Write the proportion equation
   40,460 : 88,696 = 88,696 : x
2. Step 2: Convert to fraction form
   40,460/88,696 = 88,696/x
3. Step 3: Cross multiply
   40,460x = 88,696 × 88,696
4. Step 4: Simplify right side
   40,460x = 7,866,980,416
5. Step 5: Solve for x
   x = 7,866,980,416/40,460
6. Step 6: Final answer
   x = 194,438.47