Finding the Third Proportional to 75,567 and 113,362.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,567 : 113,362.50 = 113,362.50 : x
2. Step 2: Convert to fraction form
   75,567/113,362.50 = 113,362.50/x
3. Step 3: Cross multiply
   75,567x = 113,362.50 × 113,362.50
4. Step 4: Simplify right side
   75,567x = 12,851,056,406.25
5. Step 5: Solve for x
   x = 12,851,056,406.25/75,567
6. Step 6: Final answer
   x = 170,061.75