Finding the Third Proportional to 79,537 and 107,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   79,537 : 107,633.50 = 107,633.50 : x
2. Step 2: Convert to fraction form
   79,537/107,633.50 = 107,633.50/x
3. Step 3: Cross multiply
   79,537x = 107,633.50 × 107,633.50
4. Step 4: Simplify right side
   79,537x = 11,584,970,322.25
5. Step 5: Solve for x
   x = 11,584,970,322.25/79,537
6. Step 6: Final answer
   x = 145,655.11