Finding the Third Proportional to 122,070 and 188,635.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,070 : 188,635.50 = 188,635.50 : x
2. Step 2: Convert to fraction form
   122,070/188,635.50 = 188,635.50/x
3. Step 3: Cross multiply
   122,070x = 188,635.50 × 188,635.50
4. Step 4: Simplify right side
   122,070x = 35,583,351,860.25
5. Step 5: Solve for x
   x = 35,583,351,860.25/122,070
6. Step 6: Final answer
   x = 291,499.56