Finding the Third Proportional to 75,225 and 119,002.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,225 : 119,002.50 = 119,002.50 : x
2. Step 2: Convert to fraction form
   75,225/119,002.50 = 119,002.50/x
3. Step 3: Cross multiply
   75,225x = 119,002.50 × 119,002.50
4. Step 4: Simplify right side
   75,225x = 14,161,595,006.25
5. Step 5: Solve for x
   x = 14,161,595,006.25/75,225
6. Step 6: Final answer
   x = 188,256.50