Finding the Third Proportional to 76,026 and 109,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,026 : 109,513.50 = 109,513.50 : x
2. Step 2: Convert to fraction form
   76,026/109,513.50 = 109,513.50/x
3. Step 3: Cross multiply
   76,026x = 109,513.50 × 109,513.50
4. Step 4: Simplify right side
   76,026x = 11,993,206,682.25
5. Step 5: Solve for x
   x = 11,993,206,682.25/76,026
6. Step 6: Final answer
   x = 157,751.38