Finding the Third Proportional to 75,133 and 116,276.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,133 : 116,276.50 = 116,276.50 : x
2. Step 2: Convert to fraction form
   75,133/116,276.50 = 116,276.50/x
3. Step 3: Cross multiply
   75,133x = 116,276.50 × 116,276.50
4. Step 4: Simplify right side
   75,133x = 13,520,224,452.25
5. Step 5: Solve for x
   x = 13,520,224,452.25/75,133
6. Step 6: Final answer
   x = 179,950.55