Finding the Third Proportional to 106,217 and 172,549.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,217 : 172,549.50 = 172,549.50 : x
2. Step 2: Convert to fraction form
   106,217/172,549.50 = 172,549.50/x
3. Step 3: Cross multiply
   106,217x = 172,549.50 × 172,549.50
4. Step 4: Simplify right side
   106,217x = 29,773,329,950.25
5. Step 5: Solve for x
   x = 29,773,329,950.25/106,217
6. Step 6: Final answer
   x = 280,306.64