Finding the Third Proportional to 122,269.50 and 187,051.78

Step by Step Solution

1. Step 1: Write the proportion equation
   122,269.50 : 187,051.78 = 187,051.78 : x
2. Step 2: Convert to fraction form
   122,269.50/187,051.78 = 187,051.78/x
3. Step 3: Cross multiply
   122,269.50x = 187,051.78 × 187,051.78
4. Step 4: Simplify right side
   122,269.50x = 34,988,368,868.80
5. Step 5: Solve for x
   x = 34,988,368,868.80/122,269.50
6. Step 6: Final answer
   x = 286,157.78