Finding the Third Proportional to 81,734 and 109,837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,734 : 109,837.50 = 109,837.50 : x
2. Step 2: Convert to fraction form
   81,734/109,837.50 = 109,837.50/x
3. Step 3: Cross multiply
   81,734x = 109,837.50 × 109,837.50
4. Step 4: Simplify right side
   81,734x = 12,064,276,406.25
5. Step 5: Solve for x
   x = 12,064,276,406.25/81,734
6. Step 6: Final answer
   x = 147,604.14