Finding the Third Proportional to 88,696 and 191,460

Step by Step Solution

1. Step 1: Write the proportion equation
   88,696 : 191,460 = 191,460 : x
2. Step 2: Convert to fraction form
   88,696/191,460 = 191,460/x
3. Step 3: Cross multiply
   88,696x = 191,460 × 191,460
4. Step 4: Simplify right side
   88,696x = 36,656,931,600
5. Step 5: Solve for x
   x = 36,656,931,600/88,696
6. Step 6: Final answer
   x = 413,287.31