Finding the Third Proportional to 75,002 and 109,541.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,002 : 109,541.50 = 109,541.50 : x
2. Step 2: Convert to fraction form
   75,002/109,541.50 = 109,541.50/x
3. Step 3: Cross multiply
   75,002x = 109,541.50 × 109,541.50
4. Step 4: Simplify right side
   75,002x = 11,999,340,222.25
5. Step 5: Solve for x
   x = 11,999,340,222.25/75,002
6. Step 6: Final answer
   x = 159,986.94