Finding the Third Proportional to 76,926 and 116,414

Step by Step Solution

1. Step 1: Write the proportion equation
   76,926 : 116,414 = 116,414 : x
2. Step 2: Convert to fraction form
   76,926/116,414 = 116,414/x
3. Step 3: Cross multiply
   76,926x = 116,414 × 116,414
4. Step 4: Simplify right side
   76,926x = 13,552,219,396
5. Step 5: Solve for x
   x = 13,552,219,396/76,926
6. Step 6: Final answer
   x = 176,172.16