Finding the Third Proportional to 116,741 and 171,237.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,741 : 171,237.50 = 171,237.50 : x
2. Step 2: Convert to fraction form
   116,741/171,237.50 = 171,237.50/x
3. Step 3: Cross multiply
   116,741x = 171,237.50 × 171,237.50
4. Step 4: Simplify right side
   116,741x = 29,322,281,406.25
5. Step 5: Solve for x
   x = 29,322,281,406.25/116,741
6. Step 6: Final answer
   x = 251,173.81