Finding the Third Proportional to 118,422 and 178,861.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,422 : 178,861.50 = 178,861.50 : x
2. Step 2: Convert to fraction form
   118,422/178,861.50 = 178,861.50/x
3. Step 3: Cross multiply
   118,422x = 178,861.50 × 178,861.50
4. Step 4: Simplify right side
   118,422x = 31,991,436,182.25
5. Step 5: Solve for x
   x = 31,991,436,182.25/118,422
6. Step 6: Final answer
   x = 270,147.74