Finding the Third Proportional to 120,026 and 258,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,026 : 258,641.50 = 258,641.50 : x
2. Step 2: Convert to fraction form
   120,026/258,641.50 = 258,641.50/x
3. Step 3: Cross multiply
   120,026x = 258,641.50 × 258,641.50
4. Step 4: Simplify right side
   120,026x = 66,895,425,522.25
5. Step 5: Solve for x
   x = 66,895,425,522.25/120,026
6. Step 6: Final answer
   x = 557,341.12