Finding the Third Proportional to 77,033 and 116,613

Step by Step Solution

1. Step 1: Write the proportion equation
   77,033 : 116,613 = 116,613 : x
2. Step 2: Convert to fraction form
   77,033/116,613 = 116,613/x
3. Step 3: Cross multiply
   77,033x = 116,613 × 116,613
4. Step 4: Simplify right side
   77,033x = 13,598,591,769
5. Step 5: Solve for x
   x = 13,598,591,769/77,033
6. Step 6: Final answer
   x = 176,529.43