Finding the Third Proportional to 77,386.50 and 116,701

Step by Step Solution

1. Step 1: Write the proportion equation
   77,386.50 : 116,701 = 116,701 : x
2. Step 2: Convert to fraction form
   77,386.50/116,701 = 116,701/x
3. Step 3: Cross multiply
   77,386.50x = 116,701 × 116,701
4. Step 4: Simplify right side
   77,386.50x = 13,619,123,401
5. Step 5: Solve for x
   x = 13,619,123,401/77,386.50
6. Step 6: Final answer
   x = 175,988.36