Finding the Third Proportional to 76,305 and 116,725.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,305 : 116,725.50 = 116,725.50 : x
2. Step 2: Convert to fraction form
   76,305/116,725.50 = 116,725.50/x
3. Step 3: Cross multiply
   76,305x = 116,725.50 × 116,725.50
4. Step 4: Simplify right side
   76,305x = 13,624,842,350.25
5. Step 5: Solve for x
   x = 13,624,842,350.25/76,305
6. Step 6: Final answer
   x = 178,557.66