Finding the Third Proportional to 77,133 and 116,520

Step by Step Solution

1. Step 1: Write the proportion equation
   77,133 : 116,520 = 116,520 : x
2. Step 2: Convert to fraction form
   77,133/116,520 = 116,520/x
3. Step 3: Cross multiply
   77,133x = 116,520 × 116,520
4. Step 4: Simplify right side
   77,133x = 13,576,910,400
5. Step 5: Solve for x
   x = 13,576,910,400/77,133
6. Step 6: Final answer
   x = 176,019.48