Finding the Third Proportional to 118,216 and 176,894.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,216 : 176,894.50 = 176,894.50 : x
2. Step 2: Convert to fraction form
   118,216/176,894.50 = 176,894.50/x
3. Step 3: Cross multiply
   118,216x = 176,894.50 × 176,894.50
4. Step 4: Simplify right side
   118,216x = 31,291,664,130.25
5. Step 5: Solve for x
   x = 31,291,664,130.25/118,216
6. Step 6: Final answer
   x = 264,699.06