Finding the Third Proportional to 76,945.50 and 116,442

Step by Step Solution

1. Step 1: Write the proportion equation
   76,945.50 : 116,442 = 116,442 : x
2. Step 2: Convert to fraction form
   76,945.50/116,442 = 116,442/x
3. Step 3: Cross multiply
   76,945.50x = 116,442 × 116,442
4. Step 4: Simplify right side
   76,945.50x = 13,558,739,364
5. Step 5: Solve for x
   x = 13,558,739,364/76,945.50
6. Step 6: Final answer
   x = 176,212.25