Finding the Third Proportional to 76,353.50 and 116,504.63

Step by Step Solution

1. Step 1: Write the proportion equation
   76,353.50 : 116,504.63 = 116,504.63 : x
2. Step 2: Convert to fraction form
   76,353.50/116,504.63 = 116,504.63/x
3. Step 3: Cross multiply
   76,353.50x = 116,504.63 × 116,504.63
4. Step 4: Simplify right side
   76,353.50x = 13,573,327,646.39
5. Step 5: Solve for x
   x = 13,573,327,646.39/76,353.50
6. Step 6: Final answer
   x = 177,769.55