Finding the Third Proportional to 77,079 and 115,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,079 : 115,096.50 = 115,096.50 : x
2. Step 2: Convert to fraction form
   77,079/115,096.50 = 115,096.50/x
3. Step 3: Cross multiply
   77,079x = 115,096.50 × 115,096.50
4. Step 4: Simplify right side
   77,079x = 13,247,204,312.25
5. Step 5: Solve for x
   x = 13,247,204,312.25/77,079
6. Step 6: Final answer
   x = 171,865.29