Finding the Third Proportional to 76,773 and 116,338.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,773 : 116,338.50 = 116,338.50 : x
2. Step 2: Convert to fraction form
   76,773/116,338.50 = 116,338.50/x
3. Step 3: Cross multiply
   76,773x = 116,338.50 × 116,338.50
4. Step 4: Simplify right side
   76,773x = 13,534,646,582.25
5. Step 5: Solve for x
   x = 13,534,646,582.25/76,773
6. Step 6: Final answer
   x = 176,294.36