Finding the Third Proportional to 76,322 and 116,752

Step by Step Solution

1. Step 1: Write the proportion equation
   76,322 : 116,752 = 116,752 : x
2. Step 2: Convert to fraction form
   76,322/116,752 = 116,752/x
3. Step 3: Cross multiply
   76,322x = 116,752 × 116,752
4. Step 4: Simplify right side
   76,322x = 13,631,029,504
5. Step 5: Solve for x
   x = 13,631,029,504/76,322
6. Step 6: Final answer
   x = 178,598.96