Finding the Third Proportional to 116,742.75 and 175,114.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,742.75 : 175,114.50 = 175,114.50 : x
2. Step 2: Convert to fraction form
   116,742.75/175,114.50 = 175,114.50/x
3. Step 3: Cross multiply
   116,742.75x = 175,114.50 × 175,114.50
4. Step 4: Simplify right side
   116,742.75x = 30,665,088,110.25
5. Step 5: Solve for x
   x = 30,665,088,110.25/116,742.75
6. Step 6: Final answer
   x = 262,672.31