Finding the Third Proportional to 75,457.50 and 157,116

Step by Step Solution

1. Step 1: Write the proportion equation
   75,457.50 : 157,116 = 157,116 : x
2. Step 2: Convert to fraction form
   75,457.50/157,116 = 157,116/x
3. Step 3: Cross multiply
   75,457.50x = 157,116 × 157,116
4. Step 4: Simplify right side
   75,457.50x = 24,685,437,456
5. Step 5: Solve for x
   x = 24,685,437,456/75,457.50
6. Step 6: Final answer
   x = 327,143.59