Finding the Third Proportional to 77,706 and 116,079.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,706 : 116,079.50 = 116,079.50 : x
2. Step 2: Convert to fraction form
   77,706/116,079.50 = 116,079.50/x
3. Step 3: Cross multiply
   77,706x = 116,079.50 × 116,079.50
4. Step 4: Simplify right side
   77,706x = 13,474,450,320.25
5. Step 5: Solve for x
   x = 13,474,450,320.25/77,706
6. Step 6: Final answer
   x = 173,402.96