Finding the Third Proportional to 118,857 and 174,748.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,857 : 174,748.50 = 174,748.50 : x
2. Step 2: Convert to fraction form
   118,857/174,748.50 = 174,748.50/x
3. Step 3: Cross multiply
   118,857x = 174,748.50 × 174,748.50
4. Step 4: Simplify right side
   118,857x = 30,537,038,252.25
5. Step 5: Solve for x
   x = 30,537,038,252.25/118,857
6. Step 6: Final answer
   x = 256,922.51