Finding the Third Proportional to 76,933.50 and 116,460.75

Step by Step Solution

1. Step 1: Write the proportion equation
   76,933.50 : 116,460.75 = 116,460.75 : x
2. Step 2: Convert to fraction form
   76,933.50/116,460.75 = 116,460.75/x
3. Step 3: Cross multiply
   76,933.50x = 116,460.75 × 116,460.75
4. Step 4: Simplify right side
   76,933.50x = 13,563,106,290.56
5. Step 5: Solve for x
   x = 13,563,106,290.56/76,933.50
6. Step 6: Final answer
   x = 176,296.49