Finding the Third Proportional to 77,060 and 116,144

Step by Step Solution

1. Step 1: Write the proportion equation
   77,060 : 116,144 = 116,144 : x
2. Step 2: Convert to fraction form
   77,060/116,144 = 116,144/x
3. Step 3: Cross multiply
   77,060x = 116,144 × 116,144
4. Step 4: Simplify right side
   77,060x = 13,489,428,736
5. Step 5: Solve for x
   x = 13,489,428,736/77,060
6. Step 6: Final answer
   x = 175,050.98