Finding the Third Proportional to 122,526 and 166,288.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,526 : 166,288.50 = 166,288.50 : x
2. Step 2: Convert to fraction form
   122,526/166,288.50 = 166,288.50/x
3. Step 3: Cross multiply
   122,526x = 166,288.50 × 166,288.50
4. Step 4: Simplify right side
   122,526x = 27,651,865,232.25
5. Step 5: Solve for x
   x = 27,651,865,232.25/122,526
6. Step 6: Final answer
   x = 225,681.61