Finding the Third Proportional to 171,213 and 266,143.50

Step by Step Solution

1. Step 1: Write the proportion equation
   171,213 : 266,143.50 = 266,143.50 : x
2. Step 2: Convert to fraction form
   171,213/266,143.50 = 266,143.50/x
3. Step 3: Cross multiply
   171,213x = 266,143.50 × 266,143.50
4. Step 4: Simplify right side
   171,213x = 70,832,362,592.25
5. Step 5: Solve for x
   x = 70,832,362,592.25/171,213
6. Step 6: Final answer
   x = 413,709.02